%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO605+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:32:02 PM UTC 2026
% Result : Theorem 0.18s 0.35s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 32
% Syntax : Number of formulae : 333 ( 28 unt; 27 def)
% Number of atoms : 1223 ( 0 equ)
% Maximal formula atoms : 57 ( 3 avg)
% Number of connectives : 1411 ( 521 ~; 751 |; 109 &)
% ( 30 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 40 ( 39 usr; 28 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 331 ( 0 sgn 281 !; 50 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X0] :
? [X1] :
( ( g_true_only(X1,X0)
& ( g_both(X1,X1)
| g_false_only(X1,X1) ) )
| ( g_both(X1,X0)
& ( g_true_only(X1,X1)
| g_false_only(X1,X1) ) )
| ( g_false_only(X1,X0)
& ( g_true_only(X1,X1)
| g_both(X1,X1) ) ) )
| ? [X1] :
! [X0] :
? [X2] :
( ( g_true_only(X2,X0)
& ( g_both(X2,X1)
| g_true_only(X2,X1) ) )
| ( g_both(X2,X0)
& ( g_false_only(X2,X1)
| g_true_only(X2,X1) ) )
| ( g_false_only(X2,X0)
& ( g_false_only(X2,X1)
| g_both(X2,X1) ) ) )
| ( ? [X0] :
( ? [X1] :
( g_both(X1,X0)
& g_both(X1,X1) )
& ~ ? [X1] :
( ( g_true_only(X1,X0)
& ( g_both(X1,X1)
| g_false_only(X1,X1) ) )
| ( g_both(X1,X0)
& ( g_true_only(X1,X1)
| g_false_only(X1,X1) ) )
| ( g_false_only(X1,X0)
& ( g_true_only(X1,X1)
| g_both(X1,X1) ) ) ) )
& ~ ? [X0] :
! [X1] :
( ( g_true_only(X1,X0)
& g_true_only(X1,X1) )
| ( g_false_only(X1,X0)
& g_false_only(X1,X1) ) )
& ? [X1] :
( ? [X0] :
( ? [X2] :
( g_both(X2,X0)
& g_both(X2,X1) )
& ~ ? [X2] :
( ( g_true_only(X2,X0)
& ( g_both(X2,X1)
| g_true_only(X2,X1) ) )
| ( g_both(X2,X0)
& ( g_false_only(X2,X1)
| g_true_only(X2,X1) ) )
| ( g_false_only(X2,X0)
& ( g_false_only(X2,X1)
| g_both(X2,X1) ) ) ) )
& ~ ? [X0] :
! [X2] :
( ( g_true_only(X2,X0)
& g_false_only(X2,X1) )
| ( g_false_only(X2,X0)
& g_true_only(X2,X1) ) ) )
& ~ ? [X1] :
! [X0] :
? [X2] :
( ( g_true_only(X2,X0)
& ( g_both(X2,X1)
| g_true_only(X2,X1) ) )
| ( g_both(X2,X0)
& ( g_false_only(X2,X1)
| g_true_only(X2,X1) ) )
| ( g_false_only(X2,X0)
& ( g_false_only(X2,X1)
| g_both(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nc4) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
? [X1] :
( ( g_true_only(X1,X0)
& ( g_both(X1,X1)
| g_false_only(X1,X1) ) )
| ( g_both(X1,X0)
& ( g_true_only(X1,X1)
| g_false_only(X1,X1) ) )
| ( g_false_only(X1,X0)
& ( g_true_only(X1,X1)
| g_both(X1,X1) ) ) )
| ? [X1] :
! [X0] :
? [X2] :
( ( g_true_only(X2,X0)
& ( g_both(X2,X1)
| g_true_only(X2,X1) ) )
| ( g_both(X2,X0)
& ( g_false_only(X2,X1)
| g_true_only(X2,X1) ) )
| ( g_false_only(X2,X0)
& ( g_false_only(X2,X1)
| g_both(X2,X1) ) ) )
| ( ? [X0] :
( ? [X1] :
( g_both(X1,X0)
& g_both(X1,X1) )
& ~ ? [X1] :
( ( g_true_only(X1,X0)
& ( g_both(X1,X1)
| g_false_only(X1,X1) ) )
| ( g_both(X1,X0)
& ( g_true_only(X1,X1)
| g_false_only(X1,X1) ) )
| ( g_false_only(X1,X0)
& ( g_true_only(X1,X1)
| g_both(X1,X1) ) ) ) )
& ~ ? [X0] :
! [X1] :
( ( g_true_only(X1,X0)
& g_true_only(X1,X1) )
| ( g_false_only(X1,X0)
& g_false_only(X1,X1) ) )
& ? [X1] :
( ? [X0] :
( ? [X2] :
( g_both(X2,X0)
& g_both(X2,X1) )
& ~ ? [X2] :
( ( g_true_only(X2,X0)
& ( g_both(X2,X1)
| g_true_only(X2,X1) ) )
| ( g_both(X2,X0)
& ( g_false_only(X2,X1)
| g_true_only(X2,X1) ) )
| ( g_false_only(X2,X0)
& ( g_false_only(X2,X1)
| g_both(X2,X1) ) ) ) )
& ~ ? [X0] :
! [X2] :
( ( g_true_only(X2,X0)
& g_false_only(X2,X1) )
| ( g_false_only(X2,X0)
& g_true_only(X2,X1) ) ) )
& ~ ? [X1] :
! [X0] :
? [X2] :
( ( g_true_only(X2,X0)
& ( g_both(X2,X1)
| g_true_only(X2,X1) ) )
| ( g_both(X2,X0)
& ( g_false_only(X2,X1)
| g_true_only(X2,X1) ) )
| ( g_false_only(X2,X0)
& ( g_false_only(X2,X1)
| g_both(X2,X1) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
! [X0,X1] :
( g_true_only(X0,X1)
<=> ( g_true(X0,X1)
& ~ g_false(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',true_only_g) ).
fof(f4,axiom,
! [X0,X1] :
( g_both(X0,X1)
<=> ( g_true(X0,X1)
& g_false(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',both_g) ).
fof(f5,axiom,
! [X0,X1] :
( g_false_only(X0,X1)
<=> ( g_false(X0,X1)
& ~ g_true(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',false_only_g) ).
fof(f6,axiom,
! [X0,X1] :
( g_true_only(X0,X1)
| g_both(X0,X1)
| g_false_only(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exhaustion_g) ).
fof(f7,plain,
~ ( ! [X0] :
? [X1] :
( ( g_true_only(X1,X0)
& ( g_both(X1,X1)
| g_false_only(X1,X1) ) )
| ( g_both(X1,X0)
& ( g_true_only(X1,X1)
| g_false_only(X1,X1) ) )
| ( g_false_only(X1,X0)
& ( g_true_only(X1,X1)
| g_both(X1,X1) ) ) )
| ? [X2] :
! [X3] :
? [X4] :
( ( g_true_only(X4,X3)
& ( g_both(X4,X2)
| g_true_only(X4,X2) ) )
| ( g_both(X4,X3)
& ( g_false_only(X4,X2)
| g_true_only(X4,X2) ) )
| ( g_false_only(X4,X3)
& ( g_false_only(X4,X2)
| g_both(X4,X2) ) ) )
| ( ? [X5] :
( ? [X6] :
( g_both(X6,X5)
& g_both(X6,X6) )
& ~ ? [X7] :
( ( g_true_only(X7,X5)
& ( g_both(X7,X7)
| g_false_only(X7,X7) ) )
| ( g_both(X7,X5)
& ( g_true_only(X7,X7)
| g_false_only(X7,X7) ) )
| ( g_false_only(X7,X5)
& ( g_true_only(X7,X7)
| g_both(X7,X7) ) ) ) )
& ~ ? [X8] :
! [X9] :
( ( g_true_only(X9,X8)
& g_true_only(X9,X9) )
| ( g_false_only(X9,X8)
& g_false_only(X9,X9) ) )
& ? [X10] :
( ? [X11] :
( ? [X12] :
( g_both(X12,X11)
& g_both(X12,X10) )
& ~ ? [X13] :
( ( g_true_only(X13,X11)
& ( g_both(X13,X10)
| g_true_only(X13,X10) ) )
| ( g_both(X13,X11)
& ( g_false_only(X13,X10)
| g_true_only(X13,X10) ) )
| ( g_false_only(X13,X11)
& ( g_false_only(X13,X10)
| g_both(X13,X10) ) ) ) )
& ~ ? [X14] :
! [X15] :
( ( g_true_only(X15,X14)
& g_false_only(X15,X10) )
| ( g_false_only(X15,X14)
& g_true_only(X15,X10) ) ) )
& ~ ? [X16] :
! [X17] :
? [X18] :
( ( g_true_only(X18,X17)
& ( g_both(X18,X16)
| g_true_only(X18,X16) ) )
| ( g_both(X18,X17)
& ( g_false_only(X18,X16)
| g_true_only(X18,X16) ) )
| ( g_false_only(X18,X17)
& ( g_false_only(X18,X16)
| g_both(X18,X16) ) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f8,plain,
( ? [X0] :
! [X1] :
( ( ~ g_true_only(X1,X0)
| ( ~ g_both(X1,X1)
& ~ g_false_only(X1,X1) ) )
& ( ~ g_both(X1,X0)
| ( ~ g_true_only(X1,X1)
& ~ g_false_only(X1,X1) ) )
& ( ~ g_false_only(X1,X0)
| ( ~ g_true_only(X1,X1)
& ~ g_both(X1,X1) ) ) )
& ! [X2] :
? [X3] :
! [X4] :
( ( ~ g_true_only(X4,X3)
| ( ~ g_both(X4,X2)
& ~ g_true_only(X4,X2) ) )
& ( ~ g_both(X4,X3)
| ( ~ g_false_only(X4,X2)
& ~ g_true_only(X4,X2) ) )
& ( ~ g_false_only(X4,X3)
| ( ~ g_false_only(X4,X2)
& ~ g_both(X4,X2) ) ) )
& ( ! [X5] :
( ! [X6] :
( ~ g_both(X6,X5)
| ~ g_both(X6,X6) )
| ? [X7] :
( ( g_true_only(X7,X5)
& ( g_both(X7,X7)
| g_false_only(X7,X7) ) )
| ( g_both(X7,X5)
& ( g_true_only(X7,X7)
| g_false_only(X7,X7) ) )
| ( g_false_only(X7,X5)
& ( g_true_only(X7,X7)
| g_both(X7,X7) ) ) ) )
| ? [X8] :
! [X9] :
( ( g_true_only(X9,X8)
& g_true_only(X9,X9) )
| ( g_false_only(X9,X8)
& g_false_only(X9,X9) ) )
| ! [X10] :
( ! [X11] :
( ! [X12] :
( ~ g_both(X12,X11)
| ~ g_both(X12,X10) )
| ? [X13] :
( ( g_true_only(X13,X11)
& ( g_both(X13,X10)
| g_true_only(X13,X10) ) )
| ( g_both(X13,X11)
& ( g_false_only(X13,X10)
| g_true_only(X13,X10) ) )
| ( g_false_only(X13,X11)
& ( g_false_only(X13,X10)
| g_both(X13,X10) ) ) ) )
| ? [X14] :
! [X15] :
( ( g_true_only(X15,X14)
& g_false_only(X15,X10) )
| ( g_false_only(X15,X14)
& g_true_only(X15,X10) ) ) )
| ? [X16] :
! [X17] :
? [X18] :
( ( g_true_only(X18,X17)
& ( g_both(X18,X16)
| g_true_only(X18,X16) ) )
| ( g_both(X18,X17)
& ( g_false_only(X18,X16)
| g_true_only(X18,X16) ) )
| ( g_false_only(X18,X17)
& ( g_false_only(X18,X16)
| g_both(X18,X16) ) ) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
! [X10,X11] :
( g_false_only(sK14(X10,X11),X11)
| g_both(sK14(X10,X11),X11)
| g_true_only(sK14(X10,X11),X10)
| g_both(sK14(X10,X11),X10)
| ~ sP9(X11,X10) ),
inference(cnf_transformation,[],[f8]) ).
fof(f13,plain,
! [X10,X11] :
( g_false_only(sK14(X10,X11),X11)
| g_true_only(sK14(X10,X11),X10)
| g_false_only(sK14(X10,X11),X10)
| g_true_only(sK14(X10,X11),X11)
| ~ sP9(X11,X10) ),
inference(cnf_transformation,[],[f8]) ).
fof(f15,plain,
! [X10,X11] :
( g_both(sK14(X10,X11),X10)
| g_false_only(sK14(X10,X11),X10)
| g_both(sK14(X10,X11),X11)
| g_true_only(sK14(X10,X11),X11)
| ~ sP9(X11,X10) ),
inference(cnf_transformation,[],[f8]) ).
fof(f17,plain,
! [X7,X5] :
( g_false_only(X7,X7)
| g_both(X7,X7)
| ~ sP13(X7,X5) ),
inference(cnf_transformation,[],[f8]) ).
fof(f18,plain,
! [X7,X5] :
( g_false_only(X7,X7)
| g_true_only(X7,X7)
| ~ sP12(X7,X5) ),
inference(cnf_transformation,[],[f8]) ).
fof(f19,plain,
! [X7,X5] :
( g_both(X7,X7)
| g_true_only(X7,X7)
| ~ sP11(X7,X5) ),
inference(cnf_transformation,[],[f8]) ).
fof(f20,plain,
! [X10,X11,X12] :
( ~ sP10(X11,X10)
| ~ g_both(X12,X11)
| ~ g_both(X12,X10) ),
inference(cnf_transformation,[],[f8]) ).
fof(f23,plain,
! [X10,X14,X15] :
( g_true_only(X15,X10)
| g_false_only(X15,X10)
| ~ sP8(X15,X14,X10) ),
inference(cnf_transformation,[],[f8]) ).
fof(f25,plain,
! [X18,X16,X17] :
( g_true_only(X18,X16)
| g_both(X18,X16)
| ~ sP7(X18,X17,X16) ),
inference(cnf_transformation,[],[f8]) ).
fof(f26,plain,
! [X7,X5] :
( g_true_only(X7,X5)
| ~ sP13(X7,X5) ),
inference(cnf_transformation,[],[f8]) ).
fof(f27,plain,
! [X7,X5] :
( ~ sP12(X7,X5)
| g_both(X7,X5) ),
inference(cnf_transformation,[],[f8]) ).
fof(f28,plain,
! [X7,X5] :
( g_false_only(X7,X5)
| ~ sP11(X7,X5) ),
inference(cnf_transformation,[],[f8]) ).
fof(f29,plain,
! [X18,X16,X17] :
( g_true_only(X18,X17)
| ~ sP7(X18,X17,X16) ),
inference(cnf_transformation,[],[f8]) ).
fof(f31,plain,
! [X10,X11,X6,X9,X17,X15,X5] :
( g_false_only(sK4(X17),X17)
| g_true_only(sK4(X17),sK1)
| g_false_only(sK4(X17),sK1)
| sP7(sK4(X17),X17,sK1)
| sP8(X15,sK5(X10),X10)
| sP9(X11,X10)
| sP10(X11,X10)
| g_false_only(X9,X9)
| g_true_only(X9,X9)
| sP11(sK6(X5),X5)
| sP12(sK6(X5),X5)
| sP13(sK6(X5),X5)
| ~ g_both(X6,X6)
| ~ g_both(X6,X5) ),
inference(cnf_transformation,[],[f8]) ).
fof(f39,plain,
! [X10,X11,X6,X9,X17,X15,X5] :
( g_both(sK4(X17),sK1)
| g_false_only(sK4(X17),sK1)
| g_both(sK4(X17),X17)
| sP7(sK4(X17),X17,sK1)
| sP8(X15,sK5(X10),X10)
| sP9(X11,X10)
| sP10(X11,X10)
| g_false_only(X9,X9)
| g_true_only(X9,X9)
| sP11(sK6(X5),X5)
| sP12(sK6(X5),X5)
| sP13(sK6(X5),X5)
| ~ g_both(X6,X6)
| ~ g_both(X6,X5) ),
inference(cnf_transformation,[],[f8]) ).
fof(f42,plain,
! [X2,X4] :
( ~ g_true_only(X4,X2)
| ~ g_true_only(X4,sK3(X2)) ),
inference(cnf_transformation,[],[f8]) ).
fof(f43,plain,
! [X2,X4] :
( ~ g_both(X4,X2)
| ~ g_true_only(X4,sK3(X2)) ),
inference(cnf_transformation,[],[f8]) ).
fof(f44,plain,
! [X2,X4] :
( ~ g_true_only(X4,X2)
| ~ g_both(X4,sK3(X2)) ),
inference(cnf_transformation,[],[f8]) ).
fof(f45,plain,
! [X2,X4] :
( ~ g_false_only(X4,X2)
| ~ g_both(X4,sK3(X2)) ),
inference(cnf_transformation,[],[f8]) ).
fof(f46,plain,
! [X2,X4] :
( ~ g_both(X4,X2)
| ~ g_false_only(X4,sK3(X2)) ),
inference(cnf_transformation,[],[f8]) ).
fof(f47,plain,
! [X2,X4] :
( ~ g_false_only(X4,X2)
| ~ g_false_only(X4,sK3(X2)) ),
inference(cnf_transformation,[],[f8]) ).
fof(f50,plain,
! [X10,X11,X6,X9,X17,X15,X5] :
( g_false_only(sK4(X17),X17)
| g_both(sK4(X17),X17)
| sP7(sK4(X17),X17,sK1)
| sP8(X15,sK5(X10),X10)
| sP9(X11,X10)
| sP10(X11,X10)
| g_false_only(X9,X9)
| g_true_only(X9,X9)
| sP11(sK6(X5),X5)
| sP12(sK6(X5),X5)
| sP13(sK6(X5),X5)
| ~ g_both(X6,X6)
| ~ g_both(X6,X5) ),
inference(cnf_transformation,[],[f8]) ).
fof(f52,plain,
! [X1] :
( ~ g_false_only(X1,X1)
| ~ g_true_only(X1,sK0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f53,plain,
! [X1] :
( ~ g_both(X1,X1)
| ~ g_true_only(X1,sK0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f54,plain,
! [X1] :
( ~ g_false_only(X1,X1)
| ~ g_both(X1,sK0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f55,plain,
! [X1] :
( ~ g_true_only(X1,X1)
| ~ g_both(X1,sK0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f56,plain,
! [X1] :
( ~ g_both(X1,X1)
| ~ g_false_only(X1,sK0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f57,plain,
! [X1] :
( ~ g_true_only(X1,X1)
| ~ g_false_only(X1,sK0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f58,plain,
! [X0,X1] :
( ~ g_false(X0,X1)
| ~ g_true_only(X0,X1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f61,plain,
! [X0,X1] :
( g_false(X0,X1)
| ~ g_both(X0,X1) ),
inference(cnf_transformation,[],[f4]) ).
fof(f62,plain,
! [X0,X1] :
( g_true(X0,X1)
| ~ g_both(X0,X1) ),
inference(cnf_transformation,[],[f4]) ).
fof(f64,plain,
! [X0,X1] :
( ~ g_true(X0,X1)
| ~ g_false_only(X0,X1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f65,plain,
! [X0,X1] :
( g_false(X0,X1)
| ~ g_false_only(X0,X1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f67,plain,
! [X0,X1] :
( g_false_only(X0,X1)
| g_both(X0,X1)
| g_true_only(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f68,plain,
! [X1] :
( g_true_only(X1,X1)
| g_false_only(X1,sK0) ),
inference(consistent_polarity_flipping,[],[f57]) ).
fof(f69,plain,
! [X1] :
( ~ g_both(X1,X1)
| g_false_only(X1,sK0) ),
inference(consistent_polarity_flipping,[],[f56]) ).
fof(f70,plain,
! [X1] :
( ~ g_both(X1,sK0)
| g_true_only(X1,X1) ),
inference(consistent_polarity_flipping,[],[f55]) ).
fof(f71,plain,
! [X1] :
( ~ g_both(X1,sK0)
| g_false_only(X1,X1) ),
inference(consistent_polarity_flipping,[],[f54]) ).
fof(f72,plain,
! [X1] :
( ~ g_both(X1,X1)
| g_true_only(X1,sK0) ),
inference(consistent_polarity_flipping,[],[f53]) ).
fof(f73,plain,
! [X1] :
( g_false_only(X1,X1)
| g_true_only(X1,sK0) ),
inference(consistent_polarity_flipping,[],[f52]) ).
fof(f75,plain,
! [X10,X11,X6,X9,X17,X15,X5] :
( ~ g_false_only(sK4(X17),X17)
| g_both(sK4(X17),X17)
| sP7(sK4(X17),X17,sK1)
| ~ sP8(X15,sK5(X10),X10)
| sP9(X11,X10)
| sP10(X11,X10)
| ~ g_false_only(X9,X9)
| ~ g_true_only(X9,X9)
| sP11(sK6(X5),X5)
| sP12(sK6(X5),X5)
| ~ sP13(sK6(X5),X5)
| ~ g_both(X6,X6)
| ~ g_both(X6,X5) ),
inference(consistent_polarity_flipping,[],[f50]) ).
fof(f78,plain,
! [X2,X4] :
( g_false_only(X4,sK3(X2))
| g_false_only(X4,X2) ),
inference(consistent_polarity_flipping,[],[f47]) ).
fof(f79,plain,
! [X2,X4] :
( g_false_only(X4,sK3(X2))
| ~ g_both(X4,X2) ),
inference(consistent_polarity_flipping,[],[f46]) ).
fof(f80,plain,
! [X2,X4] :
( ~ g_both(X4,sK3(X2))
| g_false_only(X4,X2) ),
inference(consistent_polarity_flipping,[],[f45]) ).
fof(f81,plain,
! [X2,X4] :
( ~ g_both(X4,sK3(X2))
| g_true_only(X4,X2) ),
inference(consistent_polarity_flipping,[],[f44]) ).
fof(f82,plain,
! [X2,X4] :
( g_true_only(X4,sK3(X2))
| ~ g_both(X4,X2) ),
inference(consistent_polarity_flipping,[],[f43]) ).
fof(f83,plain,
! [X2,X4] :
( g_true_only(X4,sK3(X2))
| g_true_only(X4,X2) ),
inference(consistent_polarity_flipping,[],[f42]) ).
fof(f86,plain,
! [X10,X11,X6,X9,X17,X15,X5] :
( g_both(sK4(X17),sK1)
| ~ g_false_only(sK4(X17),sK1)
| g_both(sK4(X17),X17)
| sP7(sK4(X17),X17,sK1)
| ~ sP8(X15,sK5(X10),X10)
| sP9(X11,X10)
| sP10(X11,X10)
| ~ g_false_only(X9,X9)
| ~ g_true_only(X9,X9)
| sP11(sK6(X5),X5)
| sP12(sK6(X5),X5)
| ~ sP13(sK6(X5),X5)
| ~ g_both(X6,X6)
| ~ g_both(X6,X5) ),
inference(consistent_polarity_flipping,[],[f39]) ).
fof(f94,plain,
! [X10,X11,X6,X9,X17,X15,X5] :
( ~ g_false_only(sK4(X17),X17)
| ~ g_true_only(sK4(X17),sK1)
| ~ g_false_only(sK4(X17),sK1)
| sP7(sK4(X17),X17,sK1)
| ~ sP8(X15,sK5(X10),X10)
| sP9(X11,X10)
| sP10(X11,X10)
| ~ g_false_only(X9,X9)
| ~ g_true_only(X9,X9)
| sP11(sK6(X5),X5)
| sP12(sK6(X5),X5)
| ~ sP13(sK6(X5),X5)
| ~ g_both(X6,X6)
| ~ g_both(X6,X5) ),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f96,plain,
! [X18,X16,X17] :
( ~ sP7(X18,X17,X16)
| ~ g_true_only(X18,X17) ),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f97,plain,
! [X7,X5] :
( ~ sP11(X7,X5)
| ~ g_false_only(X7,X5) ),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f98,plain,
! [X7,X5] :
( sP13(X7,X5)
| ~ g_true_only(X7,X5) ),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f99,plain,
! [X18,X16,X17] :
( ~ sP7(X18,X17,X16)
| g_both(X18,X16)
| ~ g_true_only(X18,X16) ),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f101,plain,
! [X10,X14,X15] :
( sP8(X15,X14,X10)
| ~ g_false_only(X15,X10)
| ~ g_true_only(X15,X10) ),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f104,plain,
! [X7,X5] :
( ~ sP11(X7,X5)
| ~ g_true_only(X7,X7)
| g_both(X7,X7) ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f105,plain,
! [X7,X5] :
( ~ sP12(X7,X5)
| ~ g_true_only(X7,X7)
| ~ g_false_only(X7,X7) ),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f106,plain,
! [X7,X5] :
( ~ g_false_only(X7,X7)
| g_both(X7,X7)
| sP13(X7,X5) ),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f108,plain,
! [X10,X11] :
( ~ sP9(X11,X10)
| ~ g_false_only(sK14(X10,X11),X10)
| g_both(sK14(X10,X11),X11)
| ~ g_true_only(sK14(X10,X11),X11)
| g_both(sK14(X10,X11),X10) ),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f110,plain,
! [X10,X11] :
( ~ sP9(X11,X10)
| ~ g_true_only(sK14(X10,X11),X10)
| ~ g_false_only(sK14(X10,X11),X10)
| ~ g_true_only(sK14(X10,X11),X11)
| ~ g_false_only(sK14(X10,X11),X11) ),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f114,plain,
! [X10,X11] :
( ~ sP9(X11,X10)
| g_both(sK14(X10,X11),X11)
| ~ g_true_only(sK14(X10,X11),X10)
| g_both(sK14(X10,X11),X10)
| ~ g_false_only(sK14(X10,X11),X11) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f117,plain,
! [X0,X1] :
( g_false(X0,X1)
| g_true_only(X0,X1) ),
inference(consistent_polarity_flipping,[],[f58]) ).
fof(f119,plain,
! [X0,X1] :
( ~ g_true(X0,X1)
| ~ g_both(X0,X1) ),
inference(consistent_polarity_flipping,[],[f62]) ).
fof(f120,plain,
! [X0,X1] :
( ~ g_both(X0,X1)
| ~ g_false(X0,X1) ),
inference(consistent_polarity_flipping,[],[f61]) ).
fof(f122,plain,
! [X0,X1] :
( ~ g_false(X0,X1)
| g_false_only(X0,X1) ),
inference(consistent_polarity_flipping,[],[f65]) ).
fof(f123,plain,
! [X0,X1] :
( g_true(X0,X1)
| g_false_only(X0,X1) ),
inference(consistent_polarity_flipping,[],[f64]) ).
fof(f124,plain,
! [X0,X1] :
( ~ g_false_only(X0,X1)
| g_both(X0,X1)
| ~ g_true_only(X0,X1) ),
inference(consistent_polarity_flipping,[],[f67]) ).
fof(f126,definition,
( spl15_1
<=> ! [X6,X5] :
( sP11(sK6(X5),X5)
| ~ g_both(X6,X6)
| ~ g_both(X6,X5)
| ~ sP13(sK6(X5),X5)
| sP12(sK6(X5),X5) ) ),
introduced(definition,[new_symbols(definition,[spl15_1])],[avatar_definition]) ).
fof(f127,plain,
( ! [X6,X5] :
( ~ g_both(X6,X6)
| sP11(sK6(X5),X5)
| ~ g_both(X6,X5)
| ~ sP13(sK6(X5),X5)
| sP12(sK6(X5),X5) )
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f132,definition,
( spl15_3
<=> ! [X15,X11,X10] :
( ~ sP8(X15,sK5(X10),X10)
| sP10(X11,X10)
| sP9(X11,X10) ) ),
introduced(definition,[new_symbols(definition,[spl15_3])],[avatar_definition]) ).
fof(f133,plain,
( ! [X10,X11,X15] :
( ~ sP8(X15,sK5(X10),X10)
| sP10(X11,X10)
| sP9(X11,X10) )
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f135,definition,
( spl15_4
<=> ! [X17] :
( ~ g_false_only(sK4(X17),X17)
| sP7(sK4(X17),X17,sK1)
| ~ g_false_only(sK4(X17),sK1)
| ~ g_true_only(sK4(X17),sK1) ) ),
introduced(definition,[new_symbols(definition,[spl15_4])],[avatar_definition]) ).
fof(f136,plain,
( ! [X17] :
( ~ g_false_only(sK4(X17),sK1)
| sP7(sK4(X17),X17,sK1)
| ~ g_false_only(sK4(X17),X17)
| ~ g_true_only(sK4(X17),sK1) )
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f139,definition,
( spl15_5
<=> ! [X9] :
( ~ g_false_only(X9,X9)
| ~ g_true_only(X9,X9) ) ),
introduced(definition,[new_symbols(definition,[spl15_5])],[avatar_definition]) ).
fof(f140,plain,
( ! [X9] :
( ~ g_false_only(X9,X9)
| ~ g_true_only(X9,X9) )
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f141,plain,
( spl15_1
| spl15_5
| spl15_3
| spl15_4 ),
inference(avatar_split_clause,[],[f94,f135,f132,f139,f126]) ).
fof(f158,definition,
( spl15_9
<=> ! [X17] :
( g_both(sK4(X17),sK1)
| sP7(sK4(X17),X17,sK1)
| g_both(sK4(X17),X17)
| ~ g_false_only(sK4(X17),sK1) ) ),
introduced(definition,[new_symbols(definition,[spl15_9])],[avatar_definition]) ).
fof(f159,plain,
( ! [X17] :
( ~ g_false_only(sK4(X17),sK1)
| sP7(sK4(X17),X17,sK1)
| g_both(sK4(X17),X17)
| g_both(sK4(X17),sK1) )
| ~ spl15_9 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f161,plain,
( spl15_1
| spl15_5
| spl15_3
| spl15_9 ),
inference(avatar_split_clause,[],[f86,f158,f132,f139,f126]) ).
fof(f165,definition,
( spl15_10
<=> ! [X17] :
( ~ g_false_only(sK4(X17),X17)
| sP7(sK4(X17),X17,sK1)
| g_both(sK4(X17),X17) ) ),
introduced(definition,[new_symbols(definition,[spl15_10])],[avatar_definition]) ).
fof(f166,plain,
( ! [X17] :
( sP7(sK4(X17),X17,sK1)
| ~ g_false_only(sK4(X17),X17)
| g_both(sK4(X17),X17) )
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f169,plain,
( spl15_1
| spl15_5
| spl15_3
| spl15_10 ),
inference(avatar_split_clause,[],[f75,f165,f132,f139,f126]) ).
fof(f171,plain,
! [X0,X1] :
( g_both(X0,X0)
| sP13(X0,X1)
| g_true_only(X0,sK0) ),
inference(resolution,[],[f106,f73]) ).
fof(f175,plain,
! [X0,X1] :
( sP13(X0,X1)
| g_true_only(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f171,f72]) ).
fof(f178,plain,
( ! [X2,X0,X1] :
( ~ g_false_only(X2,X1)
| sP9(X0,X1)
| sP10(X0,X1)
| ~ g_true_only(X2,X1) )
| ~ spl15_3 ),
inference(resolution,[],[f133,f101]) ).
fof(f196,plain,
! [X0,X1] :
( g_true_only(X0,X1)
| g_false_only(X0,X1) ),
inference(resolution,[],[f122,f117]) ).
fof(f197,plain,
! [X0,X1] :
( ~ g_both(X0,X1)
| g_false_only(X0,X1) ),
inference(resolution,[],[f123,f119]) ).
fof(f208,plain,
! [X0] :
( g_both(X0,X0)
| ~ g_true_only(X0,X0)
| g_true_only(X0,sK0) ),
inference(resolution,[],[f124,f73]) ).
fof(f209,plain,
! [X0,X1] :
( g_both(X0,sK3(X1))
| ~ g_true_only(X0,sK3(X1))
| ~ g_both(X0,X1) ),
inference(resolution,[],[f124,f79]) ).
fof(f210,plain,
! [X0,X1] :
( g_both(X0,sK3(X1))
| ~ g_true_only(X0,sK3(X1))
| g_false_only(X0,X1) ),
inference(resolution,[],[f124,f78]) ).
fof(f212,plain,
! [X0,X1] :
( ~ g_true_only(X0,sK3(X1))
| g_false_only(X0,X1) ),
inference(forward_subsumption_resolution,[],[f210,f80]) ).
fof(f213,plain,
! [X0,X1] :
( ~ g_both(X0,X1)
| g_both(X0,sK3(X1)) ),
inference(forward_subsumption_resolution,[],[f209,f82]) ).
fof(f214,plain,
! [X0] :
( ~ g_true_only(X0,X0)
| g_true_only(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f208,f72]) ).
fof(f217,plain,
! [X0] :
( g_true_only(sK3(X0),sK0)
| g_true_only(sK3(X0),X0) ),
inference(resolution,[],[f214,f83]) ).
fof(f221,plain,
! [X0] :
( g_false_only(sK3(X0),X0)
| g_false_only(sK3(X0),sK0) ),
inference(resolution,[],[f212,f68]) ).
fof(f235,plain,
! [X0] :
( g_true_only(sK3(sK3(X0)),sK0)
| g_false_only(sK3(sK3(X0)),X0) ),
inference(resolution,[],[f217,f212]) ).
fof(f236,plain,
g_true_only(sK3(sK0),sK0),
inference(factoring,[],[f217]) ).
fof(f242,definition,
( spl15_12
<=> ! [X0] :
( sP10(X0,sK0)
| sP9(X0,sK0) ) ),
introduced(definition,[new_symbols(definition,[spl15_12])],[avatar_definition]) ).
fof(f243,plain,
( ! [X0] :
( sP10(X0,sK0)
| sP9(X0,sK0) )
| ~ spl15_12 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f245,plain,
( ! [X0] :
( ~ g_true_only(sK4(X0),sK1)
| g_both(sK4(X0),X0)
| g_both(sK4(X0),sK1)
| ~ g_false_only(sK4(X0),X0) )
| ~ spl15_10 ),
inference(resolution,[],[f166,f99]) ).
fof(f247,plain,
( ! [X0] :
( g_both(sK4(X0),X0)
| g_both(sK4(X0),sK1)
| ~ g_false_only(sK4(X0),X0)
| g_false_only(sK4(X0),sK1) )
| ~ spl15_10 ),
inference(resolution,[],[f245,f196]) ).
fof(f248,plain,
( ! [X0] :
( ~ g_false_only(sK4(X0),X0)
| g_both(sK4(X0),X0)
| g_false_only(sK4(X0),sK1) )
| ~ spl15_10 ),
inference(forward_subsumption_resolution,[],[f247,f197]) ).
fof(f249,plain,
! [X0] :
( ~ g_true_only(sK3(X0),X0)
| g_both(sK3(X0),X0)
| g_false_only(sK3(X0),sK0) ),
inference(resolution,[],[f221,f124]) ).
fof(f251,plain,
g_false_only(sK3(sK0),sK0),
inference(factoring,[],[f221]) ).
fof(f252,plain,
( g_both(sK3(sK0),sK0)
| ~ g_true_only(sK3(sK0),sK0) ),
inference(resolution,[],[f251,f124]) ).
fof(f253,plain,
g_both(sK3(sK0),sK0),
inference(forward_subsumption_resolution,[],[f252,f236]) ).
fof(f259,plain,
g_both(sK3(sK0),sK3(sK0)),
inference(resolution,[],[f253,f213]) ).
fof(f262,definition,
( spl15_13
<=> g_both(sK3(sK0),sK3(sK0)) ),
introduced(definition,[new_symbols(definition,[spl15_13])],[avatar_definition]) ).
fof(f264,plain,
( g_both(sK3(sK0),sK3(sK0))
| ~ spl15_13 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f273,plain,
( ! [X0] :
( g_both(sK4(sK3(X0)),sK3(X0))
| g_false_only(sK4(sK3(X0)),sK1)
| g_false_only(sK4(sK3(X0)),X0) )
| ~ spl15_10 ),
inference(resolution,[],[f248,f78]) ).
fof(f274,plain,
( ! [X0] :
( g_false_only(sK4(sK3(X0)),sK1)
| g_false_only(sK4(sK3(X0)),X0) )
| ~ spl15_10 ),
inference(forward_subsumption_resolution,[],[f273,f80]) ).
fof(f275,plain,
! [X0] :
( ~ g_true_only(sK3(sK3(X0)),X0)
| g_both(sK3(sK3(X0)),X0)
| g_true_only(sK3(sK3(X0)),sK0) ),
inference(resolution,[],[f235,f124]) ).
fof(f281,plain,
( g_false_only(sK4(sK3(sK1)),sK1)
| ~ spl15_10 ),
inference(factoring,[],[f274]) ).
fof(f287,plain,
! [X0] :
( g_both(sK3(sK3(X0)),sK3(X0))
| g_false_only(sK3(sK3(X0)),sK0)
| g_true_only(sK3(sK3(X0)),X0) ),
inference(resolution,[],[f249,f83]) ).
fof(f289,plain,
! [X0] :
( g_true_only(sK3(sK3(X0)),X0)
| g_false_only(sK3(sK3(X0)),sK0) ),
inference(forward_subsumption_resolution,[],[f287,f81]) ).
fof(f300,plain,
( g_both(sK4(sK3(sK1)),sK1)
| ~ g_true_only(sK4(sK3(sK1)),sK1)
| ~ spl15_10 ),
inference(resolution,[],[f281,f124]) ).
fof(f302,definition,
( spl15_14
<=> g_true_only(sK4(sK3(sK1)),sK1) ),
introduced(definition,[new_symbols(definition,[spl15_14])],[avatar_definition]) ).
fof(f304,plain,
( ~ g_true_only(sK4(sK3(sK1)),sK1)
| spl15_14 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f306,definition,
( spl15_15
<=> g_both(sK4(sK3(sK1)),sK1) ),
introduced(definition,[new_symbols(definition,[spl15_15])],[avatar_definition]) ).
fof(f308,plain,
( g_both(sK4(sK3(sK1)),sK1)
| ~ spl15_15 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f309,plain,
( ~ spl15_14
| spl15_15
| ~ spl15_10 ),
inference(avatar_split_clause,[],[f300,f165,f306,f302]) ).
fof(f311,definition,
( spl15_16
<=> g_false_only(sK4(sK3(sK1)),sK3(sK1)) ),
introduced(definition,[new_symbols(definition,[spl15_16])],[avatar_definition]) ).
fof(f313,plain,
( ~ g_false_only(sK4(sK3(sK1)),sK3(sK1))
| spl15_16 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f315,definition,
( spl15_17
<=> sP7(sK4(sK3(sK1)),sK3(sK1),sK1) ),
introduced(definition,[new_symbols(definition,[spl15_17])],[avatar_definition]) ).
fof(f317,plain,
( sP7(sK4(sK3(sK1)),sK3(sK1),sK1)
| ~ spl15_17 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f321,definition,
( spl15_18
<=> g_both(sK4(sK3(sK1)),sK3(sK1)) ),
introduced(definition,[new_symbols(definition,[spl15_18])],[avatar_definition]) ).
fof(f323,plain,
( g_both(sK4(sK3(sK1)),sK3(sK1))
| ~ spl15_18 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f334,plain,
! [X0] :
( g_false_only(sK3(sK3(sK3(X0))),sK0)
| g_false_only(sK3(sK3(sK3(X0))),X0) ),
inference(resolution,[],[f289,f212]) ).
fof(f336,plain,
spl15_13,
inference(avatar_split_clause,[],[f259,f262]) ).
fof(f339,plain,
( ! [X0] :
( ~ sP13(sK6(X0),X0)
| ~ g_both(sK3(sK0),X0)
| sP11(sK6(X0),X0)
| sP12(sK6(X0),X0) )
| ~ spl15_1
| ~ spl15_13 ),
inference(resolution,[],[f264,f127]) ).
fof(f350,plain,
! [X0] :
( g_both(sK3(sK3(sK3(X0))),sK3(X0))
| g_true_only(sK3(sK3(sK3(X0))),sK0)
| g_true_only(sK3(sK3(sK3(X0))),X0) ),
inference(resolution,[],[f275,f83]) ).
fof(f352,plain,
! [X0] :
( g_true_only(sK3(sK3(sK3(X0))),sK0)
| g_true_only(sK3(sK3(sK3(X0))),X0) ),
inference(forward_subsumption_resolution,[],[f350,f81]) ).
fof(f367,plain,
! [X0] :
( ~ g_true_only(sK3(sK3(sK3(X0))),X0)
| g_both(sK3(sK3(sK3(X0))),X0)
| g_false_only(sK3(sK3(sK3(X0))),sK0) ),
inference(resolution,[],[f334,f124]) ).
fof(f375,plain,
! [X0] :
( g_true_only(sK3(sK3(sK3(sK3(X0)))),sK0)
| g_false_only(sK3(sK3(sK3(sK3(X0)))),X0) ),
inference(resolution,[],[f352,f212]) ).
fof(f400,plain,
! [X0] :
( ~ g_true_only(sK3(sK3(sK3(sK3(X0)))),X0)
| g_both(sK3(sK3(sK3(sK3(X0)))),X0)
| g_true_only(sK3(sK3(sK3(sK3(X0)))),sK0) ),
inference(resolution,[],[f375,f124]) ).
fof(f406,plain,
( ! [X0] :
( sP12(sK6(X0),X0)
| sP11(sK6(X0),X0)
| ~ g_both(sK3(sK0),X0)
| g_true_only(sK6(X0),sK0) )
| ~ spl15_1
| ~ spl15_13 ),
inference(resolution,[],[f339,f175]) ).
fof(f407,plain,
( ! [X0] :
( sP12(sK6(X0),X0)
| sP11(sK6(X0),X0)
| ~ g_both(sK3(sK0),X0)
| ~ g_true_only(sK6(X0),X0) )
| ~ spl15_1
| ~ spl15_13 ),
inference(resolution,[],[f339,f98]) ).
fof(f415,plain,
! [X0] :
( g_both(sK3(sK3(sK3(sK3(X0)))),sK3(X0))
| g_false_only(sK3(sK3(sK3(sK3(X0)))),sK0)
| g_true_only(sK3(sK3(sK3(sK3(X0)))),X0) ),
inference(resolution,[],[f367,f83]) ).
fof(f417,plain,
! [X0] :
( g_true_only(sK3(sK3(sK3(sK3(X0)))),X0)
| g_false_only(sK3(sK3(sK3(sK3(X0)))),sK0) ),
inference(forward_subsumption_resolution,[],[f415,f81]) ).
fof(f472,plain,
! [X0] :
( g_false_only(sK3(sK3(sK3(sK3(sK3(X0))))),sK0)
| g_false_only(sK3(sK3(sK3(sK3(sK3(X0))))),X0) ),
inference(resolution,[],[f417,f212]) ).
fof(f477,plain,
( ! [X0] :
( sP11(sK6(X0),X0)
| ~ g_both(sK3(sK0),X0)
| g_true_only(sK6(X0),sK0)
| g_both(sK6(X0),X0) )
| ~ spl15_1
| ~ spl15_13 ),
inference(resolution,[],[f406,f27]) ).
fof(f478,plain,
( ! [X0] :
( ~ g_false_only(sK6(X0),sK6(X0))
| ~ g_both(sK3(sK0),X0)
| ~ g_true_only(sK6(X0),X0)
| ~ g_true_only(sK6(X0),sK6(X0))
| sP11(sK6(X0),X0) )
| ~ spl15_1
| ~ spl15_13 ),
inference(resolution,[],[f407,f105]) ).
fof(f479,plain,
( ! [X0] :
( sP11(sK6(X0),X0)
| ~ g_both(sK3(sK0),X0)
| ~ g_true_only(sK6(X0),X0)
| g_both(sK6(X0),X0) )
| ~ spl15_1
| ~ spl15_13 ),
inference(resolution,[],[f407,f27]) ).
fof(f484,plain,
! [X0] :
( g_both(sK3(sK3(sK3(sK3(sK3(X0))))),sK3(X0))
| g_true_only(sK3(sK3(sK3(sK3(sK3(X0))))),sK0)
| g_true_only(sK3(sK3(sK3(sK3(sK3(X0))))),X0) ),
inference(resolution,[],[f400,f83]) ).
fof(f486,plain,
! [X0] :
( g_true_only(sK3(sK3(sK3(sK3(sK3(X0))))),sK0)
| g_true_only(sK3(sK3(sK3(sK3(sK3(X0))))),X0) ),
inference(forward_subsumption_resolution,[],[f484,f81]) ).
fof(f532,plain,
! [X0] :
( ~ g_true_only(sK3(sK3(sK3(sK3(sK3(X0))))),X0)
| g_both(sK3(sK3(sK3(sK3(sK3(X0))))),X0)
| g_false_only(sK3(sK3(sK3(sK3(sK3(X0))))),sK0) ),
inference(resolution,[],[f472,f124]) ).
fof(f533,plain,
g_false_only(sK3(sK3(sK3(sK3(sK3(sK0))))),sK0),
inference(factoring,[],[f472]) ).
fof(f535,plain,
( ! [X0] :
( ~ g_false_only(sK6(X0),X0)
| g_true_only(sK6(X0),sK0)
| g_both(sK6(X0),X0)
| ~ g_both(sK3(sK0),X0) )
| ~ spl15_1
| ~ spl15_13 ),
inference(resolution,[],[f477,f97]) ).
fof(f536,plain,
( ! [X0] :
( ~ g_true_only(sK6(X0),sK6(X0))
| ~ g_true_only(sK6(X0),X0)
| g_both(sK6(X0),X0)
| ~ g_both(sK3(sK0),X0)
| g_both(sK6(X0),sK6(X0)) )
| ~ spl15_1
| ~ spl15_13 ),
inference(resolution,[],[f479,f104]) ).
fof(f540,plain,
! [X0] :
( g_true_only(sK3(sK3(sK3(sK3(sK3(sK3(X0)))))),sK0)
| g_false_only(sK3(sK3(sK3(sK3(sK3(sK3(X0)))))),X0) ),
inference(resolution,[],[f486,f212]) ).
fof(f541,plain,
g_true_only(sK3(sK3(sK3(sK3(sK3(sK0))))),sK0),
inference(factoring,[],[f486]) ).
fof(f580,plain,
( g_both(sK3(sK3(sK3(sK3(sK3(sK0))))),sK0)
| ~ g_true_only(sK3(sK3(sK3(sK3(sK3(sK0))))),sK0) ),
inference(resolution,[],[f533,f124]) ).
fof(f582,definition,
( spl15_30
<=> g_true_only(sK3(sK3(sK3(sK3(sK3(sK0))))),sK0) ),
introduced(definition,[new_symbols(definition,[spl15_30])],[avatar_definition]) ).
fof(f586,definition,
( spl15_31
<=> g_both(sK3(sK3(sK3(sK3(sK3(sK0))))),sK0) ),
introduced(definition,[new_symbols(definition,[spl15_31])],[avatar_definition]) ).
fof(f588,plain,
( g_both(sK3(sK3(sK3(sK3(sK3(sK0))))),sK0)
| ~ spl15_31 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f589,plain,
( ~ spl15_30
| spl15_31 ),
inference(avatar_split_clause,[],[f580,f586,f582]) ).
fof(f590,plain,
spl15_30,
inference(avatar_split_clause,[],[f541,f582]) ).
fof(f614,plain,
! [X0] :
( ~ g_true_only(sK3(sK3(sK3(sK3(sK3(sK3(X0)))))),X0)
| g_both(sK3(sK3(sK3(sK3(sK3(sK3(X0)))))),X0)
| g_true_only(sK3(sK3(sK3(sK3(sK3(sK3(X0)))))),sK0) ),
inference(resolution,[],[f540,f124]) ).
fof(f637,plain,
( g_false_only(sK3(sK3(sK3(sK3(sK3(sK0))))),sK3(sK3(sK3(sK3(sK3(sK0))))))
| ~ spl15_31 ),
inference(resolution,[],[f588,f71]) ).
fof(f638,plain,
( g_true_only(sK3(sK3(sK3(sK3(sK3(sK0))))),sK3(sK3(sK3(sK3(sK3(sK0))))))
| ~ spl15_31 ),
inference(resolution,[],[f588,f70]) ).
fof(f642,plain,
( ! [X0] :
( ~ g_true_only(sK6(X0),X0)
| g_both(sK6(X0),X0)
| ~ g_both(sK3(sK0),X0)
| g_both(sK6(X0),sK6(X0))
| g_false_only(sK6(X0),sK0) )
| ~ spl15_1
| ~ spl15_13 ),
inference(resolution,[],[f536,f68]) ).
fof(f645,plain,
( ! [X0] :
( ~ g_true_only(sK6(X0),X0)
| g_both(sK6(X0),X0)
| ~ g_both(sK3(sK0),X0)
| g_false_only(sK6(X0),sK0) )
| ~ spl15_1
| ~ spl15_13 ),
inference(forward_subsumption_resolution,[],[f642,f69]) ).
fof(f664,plain,
! [X0] :
( g_both(sK3(sK3(sK3(sK3(sK3(sK3(X0)))))),sK3(X0))
| g_false_only(sK3(sK3(sK3(sK3(sK3(sK3(X0)))))),sK0)
| g_true_only(sK3(sK3(sK3(sK3(sK3(sK3(X0)))))),X0) ),
inference(resolution,[],[f532,f83]) ).
fof(f666,plain,
! [X0] :
( g_true_only(sK3(sK3(sK3(sK3(sK3(sK3(X0)))))),X0)
| g_false_only(sK3(sK3(sK3(sK3(sK3(sK3(X0)))))),sK0) ),
inference(forward_subsumption_resolution,[],[f664,f81]) ).
fof(f755,plain,
( ! [X0] :
( g_both(sK6(X0),X0)
| ~ g_both(sK3(sK0),X0)
| g_false_only(sK6(X0),sK0)
| g_false_only(sK6(X0),X0) )
| ~ spl15_1
| ~ spl15_13 ),
inference(resolution,[],[f645,f196]) ).
fof(f759,plain,
( ! [X0] :
( ~ g_both(sK3(sK0),X0)
| g_false_only(sK6(X0),sK0)
| g_false_only(sK6(X0),X0) )
| ~ spl15_1
| ~ spl15_13 ),
inference(forward_subsumption_resolution,[],[f755,f197]) ).
fof(f769,plain,
! [X0] :
( g_false_only(sK3(sK3(sK3(sK3(sK3(sK3(sK3(X0))))))),sK0)
| g_false_only(sK3(sK3(sK3(sK3(sK3(sK3(sK3(X0))))))),X0) ),
inference(resolution,[],[f666,f212]) ).
fof(f783,plain,
! [X0] :
( g_both(sK3(sK3(sK3(sK3(sK3(sK3(sK3(X0))))))),sK3(X0))
| g_true_only(sK3(sK3(sK3(sK3(sK3(sK3(sK3(X0))))))),sK0)
| g_true_only(sK3(sK3(sK3(sK3(sK3(sK3(sK3(X0))))))),X0) ),
inference(resolution,[],[f614,f83]) ).
fof(f785,plain,
! [X0] :
( g_true_only(sK3(sK3(sK3(sK3(sK3(sK3(sK3(X0))))))),sK0)
| g_true_only(sK3(sK3(sK3(sK3(sK3(sK3(sK3(X0))))))),X0) ),
inference(forward_subsumption_resolution,[],[f783,f81]) ).
fof(f847,plain,
( g_false_only(sK6(sK0),sK0)
| g_false_only(sK6(sK0),sK0)
| ~ spl15_1
| ~ spl15_13 ),
inference(resolution,[],[f759,f253]) ).
fof(f855,plain,
( g_false_only(sK6(sK0),sK0)
| ~ spl15_1
| ~ spl15_13 ),
inference(duplicate_literal_removal,[],[f847]) ).
fof(f913,definition,
( spl15_63
<=> g_true_only(sK3(sK3(sK3(sK3(sK3(sK0))))),sK3(sK3(sK3(sK3(sK3(sK0)))))) ),
introduced(definition,[new_symbols(definition,[spl15_63])],[avatar_definition]) ).
fof(f922,plain,
( spl15_63
| ~ spl15_31 ),
inference(avatar_split_clause,[],[f638,f586,f913]) ).
fof(f933,plain,
( g_true_only(sK6(sK0),sK0)
| g_both(sK6(sK0),sK0)
| ~ g_both(sK3(sK0),sK0)
| ~ spl15_1
| ~ spl15_13 ),
inference(resolution,[],[f855,f535]) ).
fof(f934,plain,
( g_both(sK6(sK0),sK0)
| ~ g_true_only(sK6(sK0),sK0)
| ~ spl15_1
| ~ spl15_13 ),
inference(resolution,[],[f855,f124]) ).
fof(f936,definition,
( spl15_67
<=> g_true_only(sK6(sK0),sK0) ),
introduced(definition,[new_symbols(definition,[spl15_67])],[avatar_definition]) ).
fof(f940,definition,
( spl15_68
<=> g_both(sK6(sK0),sK0) ),
introduced(definition,[new_symbols(definition,[spl15_68])],[avatar_definition]) ).
fof(f942,plain,
( g_both(sK6(sK0),sK0)
| ~ spl15_68 ),
inference(avatar_component_clause,[],[f940]) ).
fof(f943,plain,
( ~ spl15_67
| spl15_68
| ~ spl15_1
| ~ spl15_13 ),
inference(avatar_split_clause,[],[f934,f262,f126,f940,f936]) ).
fof(f944,plain,
( g_true_only(sK6(sK0),sK0)
| g_both(sK6(sK0),sK0)
| ~ spl15_1
| ~ spl15_13 ),
inference(forward_subsumption_resolution,[],[f933,f253]) ).
fof(f945,plain,
( spl15_68
| spl15_67
| ~ spl15_1
| ~ spl15_13 ),
inference(avatar_split_clause,[],[f944,f262,f126,f936,f940]) ).
fof(f957,plain,
( g_false_only(sK6(sK0),sK6(sK0))
| ~ spl15_68 ),
inference(resolution,[],[f942,f71]) ).
fof(f958,plain,
( g_true_only(sK6(sK0),sK6(sK0))
| ~ spl15_68 ),
inference(resolution,[],[f942,f70]) ).
fof(f961,plain,
( ~ g_false(sK6(sK0),sK0)
| ~ spl15_68 ),
inference(resolution,[],[f942,f120]) ).
fof(f995,definition,
( spl15_77
<=> sP11(sK6(sK0),sK0) ),
introduced(definition,[new_symbols(definition,[spl15_77])],[avatar_definition]) ).
fof(f997,plain,
( sP11(sK6(sK0),sK0)
| ~ spl15_77 ),
inference(avatar_component_clause,[],[f995]) ).
fof(f1004,plain,
g_false_only(sK3(sK3(sK3(sK3(sK3(sK3(sK3(sK0))))))),sK0),
inference(factoring,[],[f769]) ).
fof(f1009,plain,
g_true_only(sK3(sK3(sK3(sK3(sK3(sK3(sK3(sK0))))))),sK0),
inference(factoring,[],[f785]) ).
fof(f1032,definition,
( spl15_78
<=> g_false_only(sK6(sK0),sK6(sK0)) ),
introduced(definition,[new_symbols(definition,[spl15_78])],[avatar_definition]) ).
fof(f1033,plain,
( g_false_only(sK6(sK0),sK6(sK0))
| ~ spl15_78 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f1036,definition,
( spl15_79
<=> g_true_only(sK6(sK0),sK6(sK0)) ),
introduced(definition,[new_symbols(definition,[spl15_79])],[avatar_definition]) ).
fof(f1041,plain,
( g_true_only(sK6(sK0),sK0)
| ~ spl15_68 ),
inference(resolution,[],[f961,f117]) ).
fof(f1042,plain,
( spl15_67
| ~ spl15_68 ),
inference(avatar_split_clause,[],[f1041,f940,f936]) ).
fof(f1068,plain,
( spl15_78
| ~ spl15_68 ),
inference(avatar_split_clause,[],[f957,f940,f1032]) ).
fof(f1073,plain,
( ~ g_both(sK3(sK0),sK0)
| ~ g_true_only(sK6(sK0),sK0)
| ~ g_true_only(sK6(sK0),sK6(sK0))
| sP11(sK6(sK0),sK0)
| ~ spl15_1
| ~ spl15_13
| ~ spl15_78 ),
inference(resolution,[],[f1033,f478]) ).
fof(f1085,plain,
( ~ g_true_only(sK6(sK0),sK0)
| ~ g_true_only(sK6(sK0),sK6(sK0))
| sP11(sK6(sK0),sK0)
| ~ spl15_1
| ~ spl15_13
| ~ spl15_78 ),
inference(forward_subsumption_resolution,[],[f1073,f253]) ).
fof(f1086,plain,
( ~ g_true_only(sK6(sK0),sK6(sK0))
| sP11(sK6(sK0),sK0)
| ~ spl15_1
| ~ spl15_13
| ~ spl15_78 ),
inference(forward_subsumption_resolution,[],[f1085,f214]) ).
fof(f1087,plain,
( spl15_77
| ~ spl15_79
| ~ spl15_1
| ~ spl15_13
| ~ spl15_78 ),
inference(avatar_split_clause,[],[f1086,f1032,f262,f126,f1036,f995]) ).
fof(f1092,definition,
( spl15_82
<=> g_true_only(sK3(sK3(sK3(sK3(sK3(sK3(sK3(sK0))))))),sK0) ),
introduced(definition,[new_symbols(definition,[spl15_82])],[avatar_definition]) ).
fof(f1100,plain,
spl15_82,
inference(avatar_split_clause,[],[f1009,f1092]) ).
fof(f1108,plain,
( spl15_79
| ~ spl15_68 ),
inference(avatar_split_clause,[],[f958,f940,f1036]) ).
fof(f1117,plain,
( ~ g_false_only(sK6(sK0),sK0)
| ~ spl15_77 ),
inference(resolution,[],[f997,f97]) ).
fof(f1118,plain,
( $false
| ~ spl15_1
| ~ spl15_13
| ~ spl15_77 ),
inference(forward_subsumption_resolution,[],[f1117,f855]) ).
fof(f1119,plain,
( ~ spl15_1
| ~ spl15_13
| ~ spl15_77 ),
inference(avatar_contradiction_clause,[],[f1118]) ).
fof(f1134,plain,
( ~ g_true_only(sK3(sK3(sK3(sK3(sK3(sK0))))),sK3(sK3(sK3(sK3(sK3(sK0))))))
| ~ spl15_5
| ~ spl15_31 ),
inference(resolution,[],[f140,f637]) ).
fof(f1140,plain,
( ~ spl15_63
| ~ spl15_5
| ~ spl15_31 ),
inference(avatar_split_clause,[],[f1134,f586,f139,f913]) ).
fof(f1297,plain,
( ! [X0] :
( sP9(X0,sK0)
| sP10(X0,sK0)
| ~ g_true_only(sK3(sK3(sK3(sK3(sK3(sK3(sK3(sK0))))))),sK0) )
| ~ spl15_3 ),
inference(resolution,[],[f178,f1004]) ).
fof(f1856,plain,
( ! [X0,X1] :
( ~ g_both(X1,sK0)
| ~ g_both(X1,X0)
| sP9(X0,sK0) )
| ~ spl15_12 ),
inference(resolution,[],[f243,f20]) ).
fof(f2207,definition,
( spl15_208
<=> ! [X0] :
( sP9(X0,sK0)
| ~ g_both(sK3(sK0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl15_208])],[avatar_definition]) ).
fof(f2208,plain,
( ! [X0] :
( ~ g_both(sK3(sK0),X0)
| sP9(X0,sK0) )
| ~ spl15_208 ),
inference(avatar_component_clause,[],[f2207]) ).
fof(f2378,plain,
( sP9(sK3(sK0),sK0)
| ~ spl15_13
| ~ spl15_208 ),
inference(resolution,[],[f2208,f264]) ).
fof(f2509,plain,
( g_both(sK14(sK0,sK3(sK0)),sK3(sK0))
| ~ g_true_only(sK14(sK0,sK3(sK0)),sK0)
| g_both(sK14(sK0,sK3(sK0)),sK0)
| ~ g_false_only(sK14(sK0,sK3(sK0)),sK3(sK0))
| ~ spl15_13
| ~ spl15_208 ),
inference(resolution,[],[f2378,f114]) ).
fof(f2510,plain,
( ~ g_true_only(sK14(sK0,sK3(sK0)),sK0)
| ~ g_false_only(sK14(sK0,sK3(sK0)),sK0)
| ~ g_true_only(sK14(sK0,sK3(sK0)),sK3(sK0))
| ~ g_false_only(sK14(sK0,sK3(sK0)),sK3(sK0))
| ~ spl15_13
| ~ spl15_208 ),
inference(resolution,[],[f2378,f110]) ).
fof(f2511,plain,
( ~ g_false_only(sK14(sK0,sK3(sK0)),sK0)
| g_both(sK14(sK0,sK3(sK0)),sK3(sK0))
| ~ g_true_only(sK14(sK0,sK3(sK0)),sK3(sK0))
| g_both(sK14(sK0,sK3(sK0)),sK0)
| ~ spl15_13
| ~ spl15_208 ),
inference(resolution,[],[f2378,f108]) ).
fof(f2514,plain,
( g_both(sK14(sK0,sK3(sK0)),sK3(sK0))
| ~ g_true_only(sK14(sK0,sK3(sK0)),sK3(sK0))
| g_both(sK14(sK0,sK3(sK0)),sK0)
| ~ spl15_13
| ~ spl15_208 ),
inference(forward_subsumption_resolution,[],[f2511,f212]) ).
fof(f2515,plain,
( ~ g_true_only(sK14(sK0,sK3(sK0)),sK0)
| ~ g_true_only(sK14(sK0,sK3(sK0)),sK3(sK0))
| ~ g_false_only(sK14(sK0,sK3(sK0)),sK3(sK0))
| ~ spl15_13
| ~ spl15_208 ),
inference(forward_subsumption_resolution,[],[f2510,f212]) ).
fof(f2516,plain,
( g_both(sK14(sK0,sK3(sK0)),sK3(sK0))
| ~ g_true_only(sK14(sK0,sK3(sK0)),sK0)
| ~ g_false_only(sK14(sK0,sK3(sK0)),sK3(sK0))
| ~ spl15_13
| ~ spl15_208 ),
inference(forward_subsumption_resolution,[],[f2509,f213]) ).
fof(f2517,plain,
( g_both(sK14(sK0,sK3(sK0)),sK3(sK0))
| ~ g_true_only(sK14(sK0,sK3(sK0)),sK3(sK0))
| ~ spl15_13
| ~ spl15_208 ),
inference(forward_subsumption_resolution,[],[f2514,f213]) ).
fof(f2519,definition,
( spl15_250
<=> g_false_only(sK14(sK0,sK3(sK0)),sK3(sK0)) ),
introduced(definition,[new_symbols(definition,[spl15_250])],[avatar_definition]) ).
fof(f2520,plain,
( g_false_only(sK14(sK0,sK3(sK0)),sK3(sK0))
| ~ spl15_250 ),
inference(avatar_component_clause,[],[f2519]) ).
fof(f2521,plain,
( ~ g_false_only(sK14(sK0,sK3(sK0)),sK3(sK0))
| spl15_250 ),
inference(avatar_component_clause,[],[f2519]) ).
fof(f2523,definition,
( spl15_251
<=> g_true_only(sK14(sK0,sK3(sK0)),sK3(sK0)) ),
introduced(definition,[new_symbols(definition,[spl15_251])],[avatar_definition]) ).
fof(f2525,plain,
( ~ g_true_only(sK14(sK0,sK3(sK0)),sK3(sK0))
| spl15_251 ),
inference(avatar_component_clause,[],[f2523]) ).
fof(f2527,definition,
( spl15_252
<=> g_true_only(sK14(sK0,sK3(sK0)),sK0) ),
introduced(definition,[new_symbols(definition,[spl15_252])],[avatar_definition]) ).
fof(f2528,plain,
( g_true_only(sK14(sK0,sK3(sK0)),sK0)
| ~ spl15_252 ),
inference(avatar_component_clause,[],[f2527]) ).
fof(f2532,definition,
( spl15_253
<=> g_both(sK14(sK0,sK3(sK0)),sK3(sK0)) ),
introduced(definition,[new_symbols(definition,[spl15_253])],[avatar_definition]) ).
fof(f2534,plain,
( g_both(sK14(sK0,sK3(sK0)),sK3(sK0))
| ~ spl15_253 ),
inference(avatar_component_clause,[],[f2532]) ).
fof(f2605,plain,
( ~ g_both(sK14(sK0,sK3(sK0)),sK0)
| spl15_250 ),
inference(resolution,[],[f2521,f79]) ).
fof(f2606,plain,
( g_false_only(sK14(sK0,sK3(sK0)),sK0)
| spl15_250 ),
inference(resolution,[],[f2521,f78]) ).
fof(f2612,plain,
( g_both(sK14(sK0,sK3(sK0)),sK0)
| ~ g_true_only(sK14(sK0,sK3(sK0)),sK0)
| spl15_250 ),
inference(resolution,[],[f2606,f124]) ).
fof(f2613,plain,
( ~ g_true_only(sK14(sK0,sK3(sK0)),sK0)
| spl15_250 ),
inference(forward_subsumption_resolution,[],[f2612,f2605]) ).
fof(f2614,plain,
( ~ spl15_252
| spl15_250 ),
inference(avatar_split_clause,[],[f2613,f2519,f2527]) ).
fof(f2736,plain,
( g_true_only(sK14(sK0,sK3(sK0)),sK0)
| spl15_251 ),
inference(resolution,[],[f2525,f83]) ).
fof(f2737,plain,
( ~ g_both(sK14(sK0,sK3(sK0)),sK0)
| spl15_251 ),
inference(resolution,[],[f2525,f82]) ).
fof(f2738,plain,
( g_false_only(sK14(sK0,sK3(sK0)),sK3(sK0))
| spl15_251 ),
inference(resolution,[],[f2525,f196]) ).
fof(f2743,plain,
( spl15_252
| spl15_251 ),
inference(avatar_split_clause,[],[f2736,f2523,f2527]) ).
fof(f2744,plain,
( spl15_250
| spl15_251 ),
inference(avatar_split_clause,[],[f2738,f2523,f2519]) ).
fof(f2864,plain,
( g_both(sK14(sK0,sK3(sK0)),sK3(sK0))
| ~ g_true_only(sK14(sK0,sK3(sK0)),sK3(sK0))
| ~ spl15_250 ),
inference(resolution,[],[f2520,f124]) ).
fof(f2961,plain,
( g_true_only(sK14(sK0,sK3(sK0)),sK0)
| ~ spl15_253 ),
inference(resolution,[],[f2534,f81]) ).
fof(f2962,plain,
( g_false_only(sK14(sK0,sK3(sK0)),sK0)
| ~ spl15_253 ),
inference(resolution,[],[f2534,f80]) ).
fof(f3125,plain,
( g_both(sK14(sK0,sK3(sK0)),sK0)
| ~ g_true_only(sK14(sK0,sK3(sK0)),sK0)
| ~ spl15_253 ),
inference(resolution,[],[f2962,f124]) ).
fof(f3126,plain,
( ~ g_true_only(sK14(sK0,sK3(sK0)),sK0)
| spl15_251
| ~ spl15_253 ),
inference(forward_subsumption_resolution,[],[f3125,f2737]) ).
fof(f3127,plain,
( $false
| spl15_251
| ~ spl15_252
| ~ spl15_253 ),
inference(forward_subsumption_resolution,[],[f3126,f2528]) ).
fof(f3128,plain,
( spl15_251
| ~ spl15_252
| ~ spl15_253 ),
inference(avatar_contradiction_clause,[],[f3127]) ).
fof(f3910,plain,
( ! [X0] :
( ~ g_both(sK3(sK0),X0)
| sP9(X0,sK0) )
| ~ spl15_12 ),
inference(resolution,[],[f1856,f253]) ).
fof(f3919,plain,
( spl15_208
| ~ spl15_12 ),
inference(avatar_split_clause,[],[f3910,f242,f2207]) ).
fof(f3923,plain,
( sP7(sK4(sK3(sK1)),sK3(sK1),sK1)
| g_both(sK4(sK3(sK1)),sK3(sK1))
| g_both(sK4(sK3(sK1)),sK1)
| ~ spl15_9
| ~ spl15_10 ),
inference(resolution,[],[f159,f281]) ).
fof(f3944,plain,
( sP7(sK4(sK3(sK1)),sK3(sK1),sK1)
| g_both(sK4(sK3(sK1)),sK3(sK1))
| ~ spl15_9
| ~ spl15_10 ),
inference(forward_subsumption_resolution,[],[f3923,f213]) ).
fof(f3951,plain,
( spl15_18
| spl15_17
| ~ spl15_9
| ~ spl15_10 ),
inference(avatar_split_clause,[],[f3944,f165,f158,f315,f321]) ).
fof(f3979,plain,
( ~ g_true_only(sK4(sK3(sK1)),sK3(sK1))
| ~ spl15_17 ),
inference(resolution,[],[f317,f96]) ).
fof(f3980,plain,
( g_true_only(sK4(sK3(sK1)),sK1)
| ~ spl15_17 ),
inference(resolution,[],[f3979,f83]) ).
fof(f3981,plain,
( ~ g_both(sK4(sK3(sK1)),sK1)
| ~ spl15_17 ),
inference(resolution,[],[f3979,f82]) ).
fof(f3984,plain,
( ~ spl15_15
| ~ spl15_17 ),
inference(avatar_split_clause,[],[f3981,f315,f306]) ).
fof(f3985,plain,
( $false
| spl15_14
| ~ spl15_17 ),
inference(forward_subsumption_resolution,[],[f3980,f304]) ).
fof(f3986,plain,
( spl15_14
| ~ spl15_17 ),
inference(avatar_contradiction_clause,[],[f3985]) ).
fof(f3991,plain,
( ~ g_both(sK4(sK3(sK1)),sK1)
| spl15_16 ),
inference(resolution,[],[f313,f79]) ).
fof(f3993,plain,
( $false
| ~ spl15_15
| spl15_16 ),
inference(forward_subsumption_resolution,[],[f3991,f308]) ).
fof(f3994,plain,
( ~ spl15_15
| spl15_16 ),
inference(avatar_contradiction_clause,[],[f3993]) ).
fof(f4021,plain,
( ~ spl15_82
| spl15_12
| ~ spl15_3 ),
inference(avatar_split_clause,[],[f1297,f132,f242,f1092]) ).
fof(f4313,plain,
( ~ g_true_only(sK14(sK0,sK3(sK0)),sK0)
| ~ g_true_only(sK14(sK0,sK3(sK0)),sK3(sK0))
| ~ spl15_13
| ~ spl15_208
| ~ spl15_250 ),
inference(forward_subsumption_resolution,[],[f2515,f2520]) ).
fof(f4314,plain,
( g_both(sK14(sK0,sK3(sK0)),sK3(sK0))
| ~ g_true_only(sK14(sK0,sK3(sK0)),sK0)
| ~ spl15_13
| ~ spl15_208
| ~ spl15_250 ),
inference(forward_subsumption_resolution,[],[f2516,f2520]) ).
fof(f4315,plain,
( ~ spl15_251
| spl15_253
| ~ spl15_13
| ~ spl15_208 ),
inference(avatar_split_clause,[],[f2517,f2207,f262,f2532,f2523]) ).
fof(f4321,plain,
( spl15_252
| ~ spl15_253 ),
inference(avatar_split_clause,[],[f2961,f2532,f2527]) ).
fof(f4327,plain,
( ~ spl15_251
| spl15_253
| ~ spl15_250 ),
inference(avatar_split_clause,[],[f2864,f2519,f2532,f2523]) ).
fof(f4343,plain,
( ~ spl15_251
| ~ spl15_252
| ~ spl15_13
| ~ spl15_208
| ~ spl15_250 ),
inference(avatar_split_clause,[],[f4313,f2519,f2207,f262,f2527,f2523]) ).
fof(f4344,plain,
( ~ spl15_252
| spl15_253
| ~ spl15_13
| ~ spl15_208
| ~ spl15_250 ),
inference(avatar_split_clause,[],[f4314,f2519,f2207,f262,f2532,f2527]) ).
fof(f4353,plain,
( sP7(sK4(sK3(sK1)),sK3(sK1),sK1)
| ~ g_false_only(sK4(sK3(sK1)),sK3(sK1))
| ~ g_true_only(sK4(sK3(sK1)),sK1)
| ~ spl15_4
| ~ spl15_10 ),
inference(resolution,[],[f136,f281]) ).
fof(f4359,plain,
( ~ spl15_14
| ~ spl15_16
| spl15_17
| ~ spl15_4
| ~ spl15_10 ),
inference(avatar_split_clause,[],[f4353,f165,f135,f315,f311,f302]) ).
fof(f4373,plain,
( g_true_only(sK4(sK3(sK1)),sK1)
| ~ spl15_18 ),
inference(resolution,[],[f323,f81]) ).
fof(f4378,plain,
( $false
| spl15_14
| ~ spl15_18 ),
inference(forward_subsumption_resolution,[],[f4373,f304]) ).
fof(f4379,plain,
( spl15_14
| ~ spl15_18 ),
inference(avatar_contradiction_clause,[],[f4378]) ).
cnf(s2,plain,
( spl15_1
| spl15_3
| spl15_4
| spl15_5 ),
inference(sat_conversion,[],[f141]) ).
cnf(s10,plain,
( spl15_1
| spl15_3
| spl15_5
| spl15_9 ),
inference(sat_conversion,[],[f161]) ).
cnf(s15,plain,
( spl15_1
| spl15_3
| spl15_5
| spl15_10 ),
inference(sat_conversion,[],[f169]) ).
cnf(s19,plain,
( ~ spl15_10
| ~ spl15_14
| spl15_15 ),
inference(sat_conversion,[],[f309]) ).
cnf(s24,plain,
spl15_13,
inference(sat_conversion,[],[f336]) ).
cnf(s37,plain,
( ~ spl15_30
| spl15_31 ),
inference(sat_conversion,[],[f589]) ).
cnf(s38,plain,
spl15_30,
inference(sat_conversion,[],[f590]) ).
cnf(s59,plain,
( ~ spl15_31
| spl15_63 ),
inference(sat_conversion,[],[f922]) ).
cnf(s61,plain,
( ~ spl15_1
| ~ spl15_13
| ~ spl15_67
| spl15_68 ),
inference(sat_conversion,[],[f943]) ).
cnf(s62,plain,
( ~ spl15_1
| ~ spl15_13
| spl15_67
| spl15_68 ),
inference(sat_conversion,[],[f945]) ).
cnf(s68,plain,
( spl15_67
| ~ spl15_68 ),
inference(sat_conversion,[],[f1042]) ).
cnf(s70,plain,
( ~ spl15_68
| spl15_78 ),
inference(sat_conversion,[],[f1068]) ).
cnf(s73,plain,
( ~ spl15_1
| ~ spl15_13
| spl15_77
| ~ spl15_78
| ~ spl15_79 ),
inference(sat_conversion,[],[f1087]) ).
cnf(s75,plain,
spl15_82,
inference(sat_conversion,[],[f1100]) ).
cnf(s77,plain,
( ~ spl15_68
| spl15_79 ),
inference(sat_conversion,[],[f1108]) ).
cnf(s80,plain,
( ~ spl15_1
| ~ spl15_13
| ~ spl15_77 ),
inference(sat_conversion,[],[f1119]) ).
cnf(s84,plain,
( ~ spl15_5
| ~ spl15_31
| ~ spl15_63 ),
inference(sat_conversion,[],[f1140]) ).
cnf(s263,plain,
( spl15_250
| ~ spl15_252 ),
inference(sat_conversion,[],[f2614]) ).
cnf(s280,plain,
( spl15_251
| spl15_252 ),
inference(sat_conversion,[],[f2743]) ).
cnf(s281,plain,
( spl15_250
| spl15_251 ),
inference(sat_conversion,[],[f2744]) ).
cnf(s338,plain,
( spl15_251
| ~ spl15_252
| ~ spl15_253 ),
inference(sat_conversion,[],[f3128]) ).
cnf(s422,plain,
( ~ spl15_12
| spl15_208 ),
inference(sat_conversion,[],[f3919]) ).
cnf(s428,plain,
( ~ spl15_9
| ~ spl15_10
| spl15_17
| spl15_18 ),
inference(sat_conversion,[],[f3951]) ).
cnf(s435,plain,
( ~ spl15_15
| ~ spl15_17 ),
inference(sat_conversion,[],[f3984]) ).
cnf(s436,plain,
( spl15_14
| ~ spl15_17 ),
inference(sat_conversion,[],[f3986]) ).
cnf(s438,plain,
( ~ spl15_15
| spl15_16 ),
inference(sat_conversion,[],[f3994]) ).
cnf(s448,plain,
( ~ spl15_3
| spl15_12
| ~ spl15_82 ),
inference(sat_conversion,[],[f4021]) ).
cnf(s705,plain,
( ~ spl15_13
| ~ spl15_208
| ~ spl15_251
| spl15_253 ),
inference(sat_conversion,[],[f4315]) ).
cnf(s709,plain,
( spl15_252
| ~ spl15_253 ),
inference(sat_conversion,[],[f4321]) ).
cnf(s711,plain,
( ~ spl15_250
| ~ spl15_251
| spl15_253 ),
inference(sat_conversion,[],[f4327]) ).
cnf(s728,plain,
( ~ spl15_13
| ~ spl15_208
| ~ spl15_250
| ~ spl15_251
| ~ spl15_252 ),
inference(sat_conversion,[],[f4343]) ).
cnf(s729,plain,
( ~ spl15_13
| ~ spl15_208
| ~ spl15_250
| ~ spl15_252
| spl15_253 ),
inference(sat_conversion,[],[f4344]) ).
cnf(s737,plain,
( ~ spl15_4
| ~ spl15_10
| ~ spl15_14
| ~ spl15_16
| spl15_17 ),
inference(sat_conversion,[],[f4359]) ).
cnf(s739,plain,
( spl15_14
| ~ spl15_18 ),
inference(sat_conversion,[],[f4379]) ).
cnf(s741,plain,
spl15_31,
inference(rat,[],[s37,s38]) ).
cnf(s742,plain,
spl15_63,
inference(rat,[],[s59,s741]) ).
cnf(s745,plain,
~ spl15_5,
inference(rat,[],[s84,s741,s742]) ).
cnf(s750,plain,
( spl15_1
| spl15_3
| spl15_10 ),
inference(rat,[],[s15,s745]) ).
cnf(s751,plain,
( spl15_1
| spl15_3
| spl15_9 ),
inference(rat,[],[s10,s745]) ).
cnf(s753,plain,
( spl15_1
| spl15_3
| spl15_4 ),
inference(rat,[],[s2,s745]) ).
cnf(s754,plain,
( spl15_14
| ~ spl15_9
| ~ spl15_10 ),
inference(rat,[],[s428,s436,s739]) ).
cnf(s755,plain,
( spl15_3
| spl15_1 ),
inference(rat,[],[s737,s435,s438,s19,s754,s753,s751,s750]) ).
cnf(s756,plain,
( spl15_250
| ~ spl15_208 ),
inference(rat,[],[s709,s705,s263,s281,s24]) ).
cnf(s757,plain,
( ~ spl15_251
| ~ spl15_208 ),
inference(rat,[],[s709,s728,s711,s756,s24]) ).
cnf(s758,plain,
~ spl15_208,
inference(rat,[],[s729,s338,s280,s757,s756,s24]) ).
cnf(s759,plain,
~ spl15_12,
inference(rat,[],[s422,s758]) ).
cnf(s760,plain,
~ spl15_3,
inference(rat,[],[s448,s75,s759]) ).
cnf(s761,plain,
spl15_1,
inference(rat,[],[s755,s760]) ).
cnf(s762,plain,
~ spl15_77,
inference(rat,[],[s80,s24,s761]) ).
cnf(s763,plain,
spl15_67,
inference(rat,[],[s62,s68,s24,s761]) ).
cnf(s765,plain,
spl15_68,
inference(rat,[],[s61,s761,s24,s763]) ).
cnf(s768,plain,
spl15_79,
inference(rat,[],[s77,s765]) ).
cnf(s769,plain,
spl15_78,
inference(rat,[],[s70,s765]) ).
cnf(s770,plain,
$false,
inference(rat,[],[s73,s762,s761,s24,s768,s769]) ).
fof(f4380,plain,
$false,
inference(avatar_sat_refutation,[],[s770]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO605+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n009.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 17:54:30 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 Running first-order model finding
% 0.07/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.35 % (3296099)Will run a generic schedule for satisfiability detection.
% 0.18/0.35 % (3296106)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2040884257:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.35 % (3296105)% WARNING: option uhcvi not known.
% 0.18/0.35 % (3296105)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1423548167:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.35 % (3296104)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2178948530_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.35 % (3296107)dis+10_1_sil=32000:sp=arity:random_seed=4116812110:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.35 % (3296108)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2062608454:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.35 % (3296109)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3326382164:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.35 % (3296110)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2119080116:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.35 % TRYING [1]
% 0.18/0.35 % TRYING [2]
% 0.18/0.35 % TRYING [3]
% 0.18/0.35 % TRYING [4]
% 0.18/0.35 % (3296107)Instruction limit reached!
% 0.18/0.35 % (3296107)------------------------------
% 0.18/0.35 % (3296107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.35 % (3296107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.35 % (3296107)CaDiCaL version: 2.1.3
% 0.18/0.35 % (3296107)Termination reason: Instruction limit
% 0.18/0.35 % (3296107)Termination phase: Saturation
% 0.18/0.35 % (3296107)Time elapsed: 0.065 s
% 0.18/0.35 % (3296107)Peak memory usage: 12 MB
% 0.18/0.35 % (3296107)Instructions burned: 104 (million)
% 0.18/0.35 % (3296108)Instruction limit reached!
% 0.18/0.35 % (3296108)------------------------------
% 0.18/0.35 % (3296108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.35 % (3296108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.35 % (3296108)CaDiCaL version: 2.1.3
% 0.18/0.35 % (3296108)Termination reason: Instruction limit
% 0.18/0.35 % (3296108)Termination phase: Saturation
% 0.18/0.35 % (3296108)Time elapsed: 0.068 s
% 0.18/0.35 % (3296108)Peak memory usage: 12 MB
% 0.18/0.35 % (3296108)Instructions burned: 116 (million)
% 0.18/0.35 % TRYING [5]
% 0.18/0.35 % (3296109)Instruction limit reached!
% 0.18/0.35 % (3296109)------------------------------
% 0.18/0.35 % (3296109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.35 % (3296109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.35 % (3296109)CaDiCaL version: 2.1.3
% 0.18/0.35 % (3296109)Termination reason: Instruction limit
% 0.18/0.35 % (3296109)Termination phase: Saturation
% 0.18/0.35 % (3296109)Time elapsed: 0.078 s
% 0.18/0.35 % (3296109)Peak memory usage: 12 MB
% 0.18/0.35 % (3296109)Instructions burned: 133 (million)
% 0.18/0.35 % (3296118)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2354565961:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.18/0.35 % (3296105) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3296099-3296105"...
% 0.18/0.35 % (3296119)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=839909541:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.18/0.35 % TRYING [1]
% 0.18/0.35 % TRYING [2]
% 0.18/0.35 % (3296105)...printing done.
% 0.18/0.35 % TRYING [3]
% 0.18/0.35 % (3296105)Refutation found. Thanks to Tanya!
% 0.18/0.35 % SZS status Theorem for theBenchmark
% 0.18/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.35 % (3296105)------------------------------
% 0.18/0.35 % (3296105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.35 % (3296105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.35 % (3296105)CaDiCaL version: 2.1.3
% 0.18/0.35 % (3296105)Termination reason: Refutation
% 0.18/0.35 % (3296105)Time elapsed: 0.090 s
% 0.18/0.35 % (3296105)Peak memory usage: 14 MB
% 0.18/0.35 % (3296105)Instructions burned: 145 (million)
% 0.18/0.35 % (3296099)Success in time 0.135 s
% 0.18/0.35 % Vampire exiting
%------------------------------------------------------------------------------