%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN102-1.007.007 : TPTP v9.3.1. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 02:06:46 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.25s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 69
% Syntax : Number of formulae : 128 ( 27 unt; 0 def)
% Number of atoms : 366 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 442 ( 204 ~; 238 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 9 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 36 ( 35 usr; 1 prp; 0-7 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 700 ( 700 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ~ p_0(a,a,a,a,a,a,a)
| ~ q_0(a,a,a,a,a,a,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_goal_1) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_0(X0,X1,X2,X3,X4,X5,X6)
| ~ p_1(X0,X1,X2,X3,X4,X5,X6)
| ~ p_2(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_1) ).
fof(f3,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_0(X0,X1,X2,X3,X4,X5,X6)
| ~ q_1(X0,X1,X2,X3,X4,X5,X6)
| ~ q_2(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_2) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_1(X0,X1,X2,X3,X4,X5,X6)
| ~ p_2(X0,X1,X2,X3,X4,X5,X6)
| ~ p_3(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_3) ).
fof(f5,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_1(X0,X1,X2,X3,X4,X5,X6)
| ~ q_2(X0,X1,X2,X3,X4,X5,X6)
| ~ q_3(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_4) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_2(X0,X1,X2,X3,X4,X5,X6)
| ~ p_3(X0,X1,X2,X3,X4,X5,X6)
| ~ p_4(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_5) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_2(X0,X1,X2,X3,X4,X5,X6)
| ~ q_3(X0,X1,X2,X3,X4,X5,X6)
| ~ q_4(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_6) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_3(X0,X1,X2,X3,X4,X5,X6)
| ~ p_4(X0,X1,X2,X3,X4,X5,X6)
| ~ p_5(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_7) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_3(X0,X1,X2,X3,X4,X5,X6)
| ~ q_4(X0,X1,X2,X3,X4,X5,X6)
| ~ q_5(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_8) ).
fof(f10,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_4(X0,X1,X2,X3,X4,X5,X6)
| ~ p_5(X0,X1,X2,X3,X4,X5,X6)
| ~ p_6(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_9) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_4(X0,X1,X2,X3,X4,X5,X6)
| ~ q_5(X0,X1,X2,X3,X4,X5,X6)
| ~ q_6(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_10) ).
fof(f12,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_5(X0,X1,X2,X3,X4,X5,X6)
| ~ p_6(X0,X1,X2,X3,X4,X5,X6)
| ~ p_7(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_11) ).
fof(f13,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_5(X0,X1,X2,X3,X4,X5,X6)
| ~ q_6(X0,X1,X2,X3,X4,X5,X6)
| ~ q_7(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_12) ).
fof(f14,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_6(X0,X1,X2,X3,X4,X5,X6)
| ~ p_7(X0,X1,X2,X3,X4,X5,X6)
| ~ p_8(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_13) ).
fof(f15,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_6(X0,X1,X2,X3,X4,X5,X6)
| ~ q_7(X0,X1,X2,X3,X4,X5,X6)
| ~ q_8(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_14) ).
fof(f16,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_7(X0,X1,X2,X3,X4,X5,X6)
| ~ p_8(X0,X1,X2,X3,X4,X5,X6)
| ~ p_9(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_15) ).
fof(f17,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_7(X0,X1,X2,X3,X4,X5,X6)
| ~ q_8(X0,X1,X2,X3,X4,X5,X6)
| ~ q_9(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_16) ).
fof(f18,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_8(X0,X1,X2,X3,X4,X5,X6)
| ~ p_9(X0,X1,X2,X3,X4,X5,X6)
| ~ p_10(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_17) ).
fof(f19,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_8(X0,X1,X2,X3,X4,X5,X6)
| ~ q_9(X0,X1,X2,X3,X4,X5,X6)
| ~ q_10(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_18) ).
fof(f20,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_9(X0,X1,X2,X3,X4,X5,X6)
| ~ p_10(X0,X1,X2,X3,X4,X5,X6)
| ~ p_11(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_19) ).
fof(f21,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_9(X0,X1,X2,X3,X4,X5,X6)
| ~ q_10(X0,X1,X2,X3,X4,X5,X6)
| ~ q_11(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_20) ).
fof(f22,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_10(X0,X1,X2,X3,X4,X5,X6)
| ~ p_11(X0,X1,X2,X3,X4,X5,X6)
| ~ p_12(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_21) ).
fof(f23,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_10(X0,X1,X2,X3,X4,X5,X6)
| ~ q_11(X0,X1,X2,X3,X4,X5,X6)
| ~ q_12(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_22) ).
fof(f24,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_11(X0,X1,X2,X3,X4,X5,X6)
| ~ p_12(X0,X1,X2,X3,X4,X5,X6)
| ~ p_13(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_23) ).
fof(f25,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_11(X0,X1,X2,X3,X4,X5,X6)
| ~ q_12(X0,X1,X2,X3,X4,X5,X6)
| ~ q_13(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_24) ).
fof(f26,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_0(X0,X1,X2,X3,X4,X5,X6)
| ~ p_1(X0,X1,X2,X3,X4,X5,X6)
| ~ q_2(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_1) ).
fof(f27,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_0(X0,X1,X2,X3,X4,X5,X6)
| ~ q_1(X0,X1,X2,X3,X4,X5,X6)
| ~ p_2(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_2) ).
fof(f28,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_1(X0,X1,X2,X3,X4,X5,X6)
| ~ p_2(X0,X1,X2,X3,X4,X5,X6)
| ~ q_3(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_3) ).
fof(f29,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_1(X0,X1,X2,X3,X4,X5,X6)
| ~ q_2(X0,X1,X2,X3,X4,X5,X6)
| ~ p_3(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_4) ).
fof(f30,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_2(X0,X1,X2,X3,X4,X5,X6)
| ~ p_3(X0,X1,X2,X3,X4,X5,X6)
| ~ q_4(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_5) ).
fof(f31,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_2(X0,X1,X2,X3,X4,X5,X6)
| ~ q_3(X0,X1,X2,X3,X4,X5,X6)
| ~ p_4(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_6) ).
fof(f32,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_3(X0,X1,X2,X3,X4,X5,X6)
| ~ p_4(X0,X1,X2,X3,X4,X5,X6)
| ~ q_5(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_7) ).
fof(f33,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_3(X0,X1,X2,X3,X4,X5,X6)
| ~ q_4(X0,X1,X2,X3,X4,X5,X6)
| ~ p_5(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_8) ).
fof(f34,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_4(X0,X1,X2,X3,X4,X5,X6)
| ~ p_5(X0,X1,X2,X3,X4,X5,X6)
| ~ q_6(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_9) ).
fof(f35,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_4(X0,X1,X2,X3,X4,X5,X6)
| ~ q_5(X0,X1,X2,X3,X4,X5,X6)
| ~ p_6(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_10) ).
fof(f36,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_5(X0,X1,X2,X3,X4,X5,X6)
| ~ p_6(X0,X1,X2,X3,X4,X5,X6)
| ~ q_7(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_11) ).
fof(f37,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_5(X0,X1,X2,X3,X4,X5,X6)
| ~ q_6(X0,X1,X2,X3,X4,X5,X6)
| ~ p_7(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_12) ).
fof(f38,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_6(X0,X1,X2,X3,X4,X5,X6)
| ~ p_7(X0,X1,X2,X3,X4,X5,X6)
| ~ q_8(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_13) ).
fof(f39,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_6(X0,X1,X2,X3,X4,X5,X6)
| ~ q_7(X0,X1,X2,X3,X4,X5,X6)
| ~ p_8(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_14) ).
fof(f40,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_7(X0,X1,X2,X3,X4,X5,X6)
| ~ p_8(X0,X1,X2,X3,X4,X5,X6)
| ~ q_9(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_15) ).
fof(f41,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_7(X0,X1,X2,X3,X4,X5,X6)
| ~ q_8(X0,X1,X2,X3,X4,X5,X6)
| ~ p_9(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_16) ).
fof(f42,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_8(X0,X1,X2,X3,X4,X5,X6)
| ~ p_9(X0,X1,X2,X3,X4,X5,X6)
| ~ q_10(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_17) ).
fof(f43,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_8(X0,X1,X2,X3,X4,X5,X6)
| ~ q_9(X0,X1,X2,X3,X4,X5,X6)
| ~ p_10(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_18) ).
fof(f44,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_9(X0,X1,X2,X3,X4,X5,X6)
| ~ p_10(X0,X1,X2,X3,X4,X5,X6)
| ~ q_11(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_19) ).
fof(f45,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_9(X0,X1,X2,X3,X4,X5,X6)
| ~ q_10(X0,X1,X2,X3,X4,X5,X6)
| ~ p_11(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_20) ).
fof(f46,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_10(X0,X1,X2,X3,X4,X5,X6)
| ~ p_11(X0,X1,X2,X3,X4,X5,X6)
| ~ q_12(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_21) ).
fof(f47,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_10(X0,X1,X2,X3,X4,X5,X6)
| ~ q_11(X0,X1,X2,X3,X4,X5,X6)
| ~ p_12(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_22) ).
fof(f48,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_11(X0,X1,X2,X3,X4,X5,X6)
| ~ p_12(X0,X1,X2,X3,X4,X5,X6)
| ~ q_13(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_23) ).
fof(f49,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_11(X0,X1,X2,X3,X4,X5,X6)
| ~ q_12(X0,X1,X2,X3,X4,X5,X6)
| ~ p_13(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_24) ).
fof(f50,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_13(X0,X1,X2,X3,X4,X5,X6)
| ~ p_6(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type2_1) ).
fof(f52,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_13(X0,X1,X2,X3,X4,X5,X6)
| ~ q_6(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type2_3) ).
fof(f54,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_12(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_1(X0)
| ~ nq_2(X1)
| ~ nq_3(X2)
| ~ nq_4(X3)
| ~ nq_5(X4)
| ~ nq_6(X5)
| ~ nq_7(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_t3_1) ).
fof(f55,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_13(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_1(X0)
| ~ nq_2(X1)
| ~ nq_3(X2)
| ~ nq_4(X3)
| ~ nq_5(X4)
| ~ nq_6(X5)
| ~ nq_7(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_t3_2) ).
fof(f56,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_12(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_1(X0)
| ~ nq_2(X1)
| ~ nq_3(X2)
| ~ nq_4(X3)
| ~ nq_5(X4)
| ~ nq_6(X5)
| ~ nq_7(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_t3_3) ).
fof(f57,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_13(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_1(X0)
| ~ nq_2(X1)
| ~ nq_3(X2)
| ~ nq_4(X3)
| ~ nq_5(X4)
| ~ nq_6(X5)
| ~ nq_7(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_t3_4) ).
fof(f58,axiom,
nq_1(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_1) ).
fof(f59,axiom,
nq_1(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_2) ).
fof(f60,axiom,
nq_2(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_3) ).
fof(f61,axiom,
nq_2(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_4) ).
fof(f62,axiom,
nq_3(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_5) ).
fof(f63,axiom,
nq_3(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_6) ).
fof(f64,axiom,
nq_4(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_7) ).
fof(f65,axiom,
nq_4(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_8) ).
fof(f66,axiom,
nq_5(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_9) ).
fof(f67,axiom,
nq_5(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_10) ).
fof(f68,axiom,
nq_6(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_11) ).
fof(f69,axiom,
nq_6(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_12) ).
fof(f70,axiom,
nq_7(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_13) ).
fof(f71,axiom,
nq_7(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_14) ).
fof(f72,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_0(X0,X1,X2,X3,X4,X5,X6)
| p_1(X0,X1,X2,X3,X4,X5,X6)
| p_2(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f73,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_0(X0,X1,X2,X3,X4,X5,X6)
| ~ q_1(X0,X1,X2,X3,X4,X5,X6)
| q_2(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f74,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p_1(X0,X1,X2,X3,X4,X5,X6)
| p_2(X0,X1,X2,X3,X4,X5,X6)
| ~ p_3(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f75,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p_1(X0,X1,X2,X3,X4,X5,X6)
| q_2(X0,X1,X2,X3,X4,X5,X6)
| ~ q_3(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f76,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p_2(X0,X1,X2,X3,X4,X5,X6)
| ~ p_3(X0,X1,X2,X3,X4,X5,X6)
| p_4(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f77,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p_2(X0,X1,X2,X3,X4,X5,X6)
| ~ q_3(X0,X1,X2,X3,X4,X5,X6)
| ~ q_4(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f78,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_3(X0,X1,X2,X3,X4,X5,X6)
| p_4(X0,X1,X2,X3,X4,X5,X6)
| p_5(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f79,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_3(X0,X1,X2,X3,X4,X5,X6)
| ~ q_4(X0,X1,X2,X3,X4,X5,X6)
| q_5(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f80,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p_4(X0,X1,X2,X3,X4,X5,X6)
| p_5(X0,X1,X2,X3,X4,X5,X6)
| ~ p_6(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f81,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p_4(X0,X1,X2,X3,X4,X5,X6)
| q_5(X0,X1,X2,X3,X4,X5,X6)
| q_6(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f82,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p_5(X0,X1,X2,X3,X4,X5,X6)
| ~ p_6(X0,X1,X2,X3,X4,X5,X6)
| p_7(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f83,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p_5(X0,X1,X2,X3,X4,X5,X6)
| q_6(X0,X1,X2,X3,X4,X5,X6)
| ~ q_7(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f84,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_6(X0,X1,X2,X3,X4,X5,X6)
| p_7(X0,X1,X2,X3,X4,X5,X6)
| p_8(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f85,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p_7(X0,X1,X2,X3,X4,X5,X6)
| p_8(X0,X1,X2,X3,X4,X5,X6)
| p_9(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f86,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p_7(X0,X1,X2,X3,X4,X5,X6)
| ~ q_8(X0,X1,X2,X3,X4,X5,X6)
| q_9(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f87,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p_8(X0,X1,X2,X3,X4,X5,X6)
| p_9(X0,X1,X2,X3,X4,X5,X6)
| ~ p_10(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f88,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p_8(X0,X1,X2,X3,X4,X5,X6)
| q_9(X0,X1,X2,X3,X4,X5,X6)
| q_10(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f89,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p_9(X0,X1,X2,X3,X4,X5,X6)
| ~ p_10(X0,X1,X2,X3,X4,X5,X6)
| ~ p_11(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f90,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p_9(X0,X1,X2,X3,X4,X5,X6)
| q_10(X0,X1,X2,X3,X4,X5,X6)
| ~ q_11(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f91,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_0(X0,X1,X2,X3,X4,X5,X6)
| p_1(X0,X1,X2,X3,X4,X5,X6)
| q_2(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f92,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_0(X0,X1,X2,X3,X4,X5,X6)
| ~ q_1(X0,X1,X2,X3,X4,X5,X6)
| p_2(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f93,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_1(X0,X1,X2,X3,X4,X5,X6)
| p_2(X0,X1,X2,X3,X4,X5,X6)
| ~ q_3(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f94,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_1(X0,X1,X2,X3,X4,X5,X6)
| q_2(X0,X1,X2,X3,X4,X5,X6)
| ~ p_3(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f95,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ q_2(X0,X1,X2,X3,X4,X5,X6)
| ~ p_3(X0,X1,X2,X3,X4,X5,X6)
| ~ q_4(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f96,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ q_2(X0,X1,X2,X3,X4,X5,X6)
| ~ q_3(X0,X1,X2,X3,X4,X5,X6)
| p_4(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f97,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_3(X0,X1,X2,X3,X4,X5,X6)
| p_4(X0,X1,X2,X3,X4,X5,X6)
| q_5(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f32]) ).
fof(f98,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_3(X0,X1,X2,X3,X4,X5,X6)
| ~ q_4(X0,X1,X2,X3,X4,X5,X6)
| p_5(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f33]) ).
fof(f99,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_4(X0,X1,X2,X3,X4,X5,X6)
| p_5(X0,X1,X2,X3,X4,X5,X6)
| q_6(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f34]) ).
fof(f100,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_4(X0,X1,X2,X3,X4,X5,X6)
| q_5(X0,X1,X2,X3,X4,X5,X6)
| ~ p_6(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f35]) ).
fof(f101,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ q_5(X0,X1,X2,X3,X4,X5,X6)
| ~ p_6(X0,X1,X2,X3,X4,X5,X6)
| ~ q_7(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f36]) ).
fof(f102,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ q_5(X0,X1,X2,X3,X4,X5,X6)
| q_6(X0,X1,X2,X3,X4,X5,X6)
| p_7(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f37]) ).
fof(f103,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ q_6(X0,X1,X2,X3,X4,X5,X6)
| p_7(X0,X1,X2,X3,X4,X5,X6)
| ~ q_8(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f38]) ).
fof(f104,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ q_6(X0,X1,X2,X3,X4,X5,X6)
| ~ q_7(X0,X1,X2,X3,X4,X5,X6)
| p_8(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f39]) ).
fof(f105,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_7(X0,X1,X2,X3,X4,X5,X6)
| p_8(X0,X1,X2,X3,X4,X5,X6)
| q_9(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f40]) ).
fof(f106,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_7(X0,X1,X2,X3,X4,X5,X6)
| ~ q_8(X0,X1,X2,X3,X4,X5,X6)
| p_9(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f41]) ).
fof(f107,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_8(X0,X1,X2,X3,X4,X5,X6)
| p_9(X0,X1,X2,X3,X4,X5,X6)
| q_10(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f42]) ).
fof(f108,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_8(X0,X1,X2,X3,X4,X5,X6)
| q_9(X0,X1,X2,X3,X4,X5,X6)
| ~ p_10(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f43]) ).
fof(f109,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ q_9(X0,X1,X2,X3,X4,X5,X6)
| ~ p_10(X0,X1,X2,X3,X4,X5,X6)
| ~ q_11(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f44]) ).
fof(f110,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ q_9(X0,X1,X2,X3,X4,X5,X6)
| q_10(X0,X1,X2,X3,X4,X5,X6)
| ~ p_11(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f45]) ).
fof(f111,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ q_10(X0,X1,X2,X3,X4,X5,X6)
| ~ p_11(X0,X1,X2,X3,X4,X5,X6)
| ~ q_12(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f46]) ).
fof(f112,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ q_10(X0,X1,X2,X3,X4,X5,X6)
| ~ q_11(X0,X1,X2,X3,X4,X5,X6)
| ~ p_12(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f47]) ).
fof(f113,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_13(X0,X1,X2,X3,X4,X5,X6)
| q_6(X0,X1,X2,X3,X4,X5,X6) ),
inference(consistent_polarity_flipping,[],[f52]) ).
fof(f114,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_12(X0,X1,X2,X3,X4,X5,X6)
| nq_1(X0)
| nq_2(X1)
| ~ nq_3(X2)
| nq_4(X3)
| nq_5(X4)
| nq_6(X5)
| nq_7(X6) ),
inference(consistent_polarity_flipping,[],[f54]) ).
fof(f115,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( p_13(X0,X1,X2,X3,X4,X5,X6)
| nq_1(X0)
| nq_2(X1)
| ~ nq_3(X2)
| nq_4(X3)
| nq_5(X4)
| nq_6(X5)
| nq_7(X6) ),
inference(consistent_polarity_flipping,[],[f55]) ).
fof(f116,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_12(X0,X1,X2,X3,X4,X5,X6)
| nq_1(X0)
| nq_2(X1)
| ~ nq_3(X2)
| nq_4(X3)
| nq_5(X4)
| nq_6(X5)
| nq_7(X6) ),
inference(consistent_polarity_flipping,[],[f56]) ).
fof(f117,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( q_13(X0,X1,X2,X3,X4,X5,X6)
| nq_1(X0)
| nq_2(X1)
| ~ nq_3(X2)
| nq_4(X3)
| nq_5(X4)
| nq_6(X5)
| nq_7(X6) ),
inference(consistent_polarity_flipping,[],[f57]) ).
fof(f118,plain,
~ nq_1(a),
inference(consistent_polarity_flipping,[],[f58]) ).
fof(f119,plain,
~ nq_1(b),
inference(consistent_polarity_flipping,[],[f59]) ).
fof(f120,plain,
~ nq_2(a),
inference(consistent_polarity_flipping,[],[f60]) ).
fof(f121,plain,
~ nq_2(b),
inference(consistent_polarity_flipping,[],[f61]) ).
fof(f122,plain,
~ nq_4(a),
inference(consistent_polarity_flipping,[],[f64]) ).
fof(f123,plain,
~ nq_4(b),
inference(consistent_polarity_flipping,[],[f65]) ).
fof(f124,plain,
~ nq_5(a),
inference(consistent_polarity_flipping,[],[f66]) ).
fof(f125,plain,
~ nq_5(b),
inference(consistent_polarity_flipping,[],[f67]) ).
fof(f126,plain,
~ nq_6(a),
inference(consistent_polarity_flipping,[],[f68]) ).
fof(f127,plain,
~ nq_6(b),
inference(consistent_polarity_flipping,[],[f69]) ).
fof(f128,plain,
~ nq_7(a),
inference(consistent_polarity_flipping,[],[f70]) ).
fof(f129,plain,
~ nq_7(b),
inference(consistent_polarity_flipping,[],[f71]) ).
fof(f159,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f1,f72,f73,f74,f75,f76,f77,f78,f79,f80,f81,f82,f83,f84,f15,f85,f86,f87,f88,f89,f90,f22,f23,f24,f25,f91,f92,f93,f94,f95,f96,f97,f98,f99,f100,f101,f102,f103,f104,f105,f106,f107,f108,f109,f110,f111,f112,f48,f49,f50,f113,f114,f115,f116,f117,f118,f119,f120,f121,f62,f63,f122,f123,f124,f125,f126,f127,f128,f129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN102-1.007.007 : TPTP v9.3.1. Bugfixed v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.16 % Computer : n004.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 15:33:52 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 Running first-order model finding
% 0.09/0.20 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.25 % (464113)Will run a generic schedule for satisfiability detection.
% 0.09/0.25 % (464124)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2543982960:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.25 % (464119)% WARNING: option uhcvi not known.
% 0.09/0.25 % (464118)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2528764367_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.25 % (464119)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4241887023:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.25 % (464121)dis+10_1_sil=32000:sp=arity:random_seed=4122260781:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.25 % (464120)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1303266989:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.25 % (464122)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1560129295:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.25 % (464123)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2766771015:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.25 % Detected minimum model sizes of [1]
% 0.09/0.25 % Detected maximum model sizes of [2]
% 0.09/0.25 % TRYING [1]
% 0.09/0.25 % (464118) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-464113-464118"...
% 0.09/0.25 % (464121) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-464113-464121"...
% 0.09/0.25 % (464118)...printing done.
% 0.09/0.25 % (464121)...printing done.
% 0.09/0.25 % (464118)Refutation found. Thanks to Tanya!
% 0.09/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.25 % (464118)------------------------------
% 0.09/0.25 % (464118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25 % (464118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25 % (464118)CaDiCaL version: 2.1.3
% 0.09/0.25 % (464118)Termination reason: Refutation
% 0.09/0.25 % (464118)Time elapsed: 0.008 s
% 0.09/0.25 % (464118)Peak memory usage: 11 MB
% 0.09/0.25 % (464118)Instructions burned: 15 (million)
% 0.09/0.25 % (464113)Success in time 0.041 s
% 0.09/0.25 % Vampire exiting
%------------------------------------------------------------------------------