%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN036-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n015.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 : Fri Sep 25 03:38:55 PM UTC 2026
% Result : Unsatisfiable 3.35s 1.28s
% Output : CNFRefutation 3.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 31
% Syntax : Number of formulae : 158 ( 1 unt; 0 def)
% Number of atoms : 899 ( 0 equ)
% Maximal formula atoms : 8 ( 5 avg)
% Number of connectives : 1130 ( 389 ~; 741 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 12 usr; 11 prp; 0-1 aty)
% Number of functors : 20 ( 20 usr; 16 con; 0-1 aty)
% Number of variables : 320 ( 0 sgn 320 !; 0 ?; 174 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( big_q(X5)
| ~ big_p(X4)
| big_q(X3)
| big_q(f2(X3))
| big_p(X2)
| ~ big_q(X1)
| big_p(f1(X0))
| big_p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f4,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_q(c7)
| big_p(c6)
| ~ big_q(X3)
| ~ big_q(f2(X3))
| big_p(X2)
| ~ big_q(X1)
| big_p(f1(X0))
| big_p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f5,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( big_q(X4)
| big_p(c9)
| big_q(c8)
| ~ big_q(X3)
| big_p(X2)
| ~ big_q(X1)
| big_p(f1(X0))
| big_p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f7,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( big_q(X4)
| big_p(c9)
| ~ big_q(c8)
| big_q(X3)
| big_p(X2)
| ~ big_q(X1)
| big_p(f1(X0))
| big_p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f16,negated_conjecture,
! [X2,X0,X1] :
( ~ big_q(c10)
| ~ big_p(X2)
| ~ big_q(c8)
| big_q(X1)
| ~ big_p(c2)
| big_q(c1)
| big_p(f1(X0))
| big_p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16) ).
fof(f17,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( big_q(X5)
| ~ big_p(X4)
| big_q(X3)
| big_q(f2(X3))
| big_p(X2)
| ~ big_q(X1)
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17) ).
fof(f19,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( big_q(X5)
| ~ big_p(X4)
| ~ big_q(X3)
| ~ big_q(f2(X3))
| big_p(X2)
| ~ big_q(X1)
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_19) ).
fof(f20,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_q(c7)
| big_p(c6)
| ~ big_q(X3)
| ~ big_q(f2(X3))
| big_p(X2)
| ~ big_q(X1)
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_20) ).
fof(f21,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( big_q(X4)
| big_p(c9)
| big_q(c8)
| ~ big_q(X3)
| big_p(X2)
| ~ big_q(X1)
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_21) ).
fof(f23,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( big_q(X4)
| big_p(c9)
| ~ big_q(c8)
| big_q(X3)
| big_p(X2)
| ~ big_q(X1)
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_23) ).
fof(f25,negated_conjecture,
! [X2,X3,X0,X1] :
( big_q(X3)
| ~ big_p(X2)
| big_q(X1)
| big_q(f2(X1))
| ~ big_p(c2)
| big_q(c1)
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_25) ).
fof(f32,negated_conjecture,
! [X2,X0,X1] :
( ~ big_q(c10)
| ~ big_p(X2)
| ~ big_q(c8)
| big_q(X1)
| ~ big_p(c2)
| big_q(c1)
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_32) ).
fof(f33,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( big_q(X4)
| ~ big_p(X3)
| big_q(X2)
| big_q(f2(X2))
| big_p(X1)
| big_q(c4)
| big_p(X0)
| ~ big_p(c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_33) ).
fof(f35,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( big_q(X4)
| ~ big_p(X3)
| ~ big_q(X2)
| ~ big_q(f2(X2))
| big_p(X1)
| big_q(c4)
| big_p(X0)
| ~ big_p(c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_35) ).
fof(f49,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( big_q(X4)
| ~ big_p(X3)
| big_q(X2)
| big_q(f2(X2))
| big_p(X1)
| big_q(c4)
| ~ big_p(X0)
| big_p(c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_49) ).
fof(f51,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( big_q(X4)
| ~ big_p(X3)
| ~ big_q(X2)
| ~ big_q(f2(X2))
| big_p(X1)
| big_q(c4)
| ~ big_p(X0)
| big_p(c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_51) ).
fof(f58,negated_conjecture,
! [X2,X0,X1] :
( ~ big_q(c7)
| big_p(c6)
| big_q(X2)
| big_q(f2(X2))
| ~ big_p(c5)
| ~ big_q(X1)
| ~ big_p(X0)
| big_p(c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_58) ).
fof(f60,negated_conjecture,
! [X2,X0,X1] :
( ~ big_q(c7)
| big_p(c6)
| ~ big_q(X2)
| ~ big_q(f2(X2))
| ~ big_p(c5)
| ~ big_q(X1)
| ~ big_p(X0)
| big_p(c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_60) ).
fof(f65,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( big_q(X5)
| ~ big_p(X4)
| big_q(c16)
| ~ big_q(X3)
| big_p(X2)
| ~ big_q(X1)
| big_p(X0)
| ~ big_p(c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_65) ).
fof(f67,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( big_q(X5)
| ~ big_p(X4)
| ~ big_q(c16)
| big_q(X3)
| big_p(X2)
| ~ big_q(X1)
| big_p(X0)
| ~ big_p(c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_67) ).
fof(f72,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ big_q(c20)
| ~ big_p(X4)
| ~ big_q(X3)
| ~ big_q(f4(X3))
| big_p(X2)
| ~ big_q(X1)
| big_p(X0)
| ~ big_p(c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_72) ).
fof(f81,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( big_q(X5)
| ~ big_p(X4)
| big_q(c16)
| ~ big_q(X3)
| big_p(X2)
| ~ big_q(X1)
| ~ big_p(X0)
| big_p(c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_81) ).
fof(f83,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( big_q(X5)
| ~ big_p(X4)
| ~ big_q(c16)
| big_q(X3)
| big_p(X2)
| ~ big_q(X1)
| ~ big_p(X0)
| big_p(c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_83) ).
fof(f88,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ big_q(c20)
| ~ big_p(X4)
| ~ big_q(X3)
| ~ big_q(f4(X3))
| big_p(X2)
| ~ big_q(X1)
| ~ big_p(X0)
| big_p(c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_88) ).
fof(f101,negated_conjecture,
! [X2,X3,X0,X1] :
( big_q(X3)
| big_p(c19)
| big_q(X2)
| big_q(f4(X2))
| big_p(X1)
| big_q(c14)
| big_p(f3(X0))
| big_p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_101) ).
fof(f119,negated_conjecture,
! [X2,X3,X0,X1] :
( big_q(X3)
| big_p(c19)
| ~ big_q(X2)
| ~ big_q(f4(X2))
| big_p(X1)
| big_q(c14)
| ~ big_p(f3(X0))
| ~ big_p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_119) ).
fof(f120,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_q(c20)
| ~ big_p(X3)
| ~ big_q(X2)
| ~ big_q(f4(X2))
| big_p(X1)
| big_q(c14)
| ~ big_p(f3(X0))
| ~ big_p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_120) ).
fof(f121,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( big_q(X4)
| ~ big_p(X3)
| big_q(c16)
| ~ big_q(X2)
| ~ big_p(c15)
| ~ big_q(X1)
| ~ big_p(f3(X0))
| ~ big_p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_121) ).
fof(f123,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( big_q(X4)
| ~ big_p(X3)
| ~ big_q(c16)
| big_q(X2)
| ~ big_p(c15)
| ~ big_q(X1)
| ~ big_p(f3(X0))
| ~ big_p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_123) ).
fof(f127,negated_conjecture,
! [X2,X3,X0,X1] :
( big_q(X3)
| big_p(c19)
| ~ big_q(X2)
| ~ big_q(f4(X2))
| ~ big_p(c15)
| ~ big_q(X1)
| ~ big_p(f3(X0))
| ~ big_p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_127) ).
fof(f128,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_q(c20)
| ~ big_p(X3)
| ~ big_q(X2)
| ~ big_q(f4(X2))
| ~ big_p(c15)
| ~ big_q(X1)
| ~ big_p(f3(X0))
| ~ big_p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_128) ).
tcf(c_177,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( big_q(X5)
| big_q(X3)
| big_p(X4)
| big_p(X2)
| big_q(f2(X3))
| big_p(f1(X2))
| ~ big_q(X1)
| ~ big_p(X0) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_180,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_p(c6)
| big_p(X3)
| big_p(X2)
| big_p(f1(X2))
| ~ big_q(c7)
| ~ big_q(X1)
| ~ big_q(X0)
| ~ big_q(f2(X0)) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_181,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( big_q(c8)
| big_p(c9)
| big_q(X4)
| big_p(X3)
| big_p(X2)
| big_p(f1(X2))
| ~ big_q(X1)
| ~ big_q(X0) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_183,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( big_p(c9)
| big_q(X4)
| big_q(X3)
| big_p(X2)
| big_p(X1)
| big_p(f1(X1))
| ~ big_q(c8)
| ~ big_q(X0) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_192,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_q(c1)
| big_q(X2)
| big_p(X1)
| big_p(f1(X1))
| ~ big_q(c10)
| ~ big_q(c8)
| ~ big_p(c2)
| ~ big_p(X0) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_193,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( big_q(X5)
| big_q(X3)
| big_p(X4)
| big_q(f2(X3))
| ~ big_q(X2)
| ~ big_p(X1)
| ~ big_p(X0)
| ~ big_p(f1(X0)) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_195,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( big_q(X5)
| big_p(X4)
| ~ big_q(X3)
| ~ big_q(X1)
| ~ big_p(X2)
| ~ big_p(X0)
| ~ big_q(f2(X1))
| ~ big_p(f1(X0)) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_196,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_p(c6)
| big_p(X3)
| ~ big_q(c7)
| ~ big_q(X2)
| ~ big_q(X1)
| ~ big_p(X0)
| ~ big_q(f2(X1))
| ~ big_p(f1(X0)) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_197,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( big_q(c8)
| big_p(c9)
| big_q(X4)
| big_p(X3)
| ~ big_q(X2)
| ~ big_q(X1)
| ~ big_p(X0)
| ~ big_p(f1(X0)) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_199,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( big_p(c9)
| big_q(X4)
| big_q(X3)
| big_p(X2)
| ~ big_q(c8)
| ~ big_q(X1)
| ~ big_p(X0)
| ~ big_p(f1(X0)) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_201,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_q(c1)
| big_q(X3)
| big_q(X2)
| big_q(f2(X2))
| ~ big_p(c2)
| ~ big_p(X1)
| ~ big_p(X0)
| ~ big_p(f1(X0)) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_208,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_q(c1)
| big_q(X2)
| ~ big_q(c10)
| ~ big_q(c8)
| ~ big_p(c2)
| ~ big_p(X1)
| ~ big_p(X0)
| ~ big_p(f1(X0)) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_209,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( big_q(c4)
| big_q(X4)
| big_q(X1)
| big_p(X3)
| big_p(X2)
| big_q(f2(X1))
| ~ big_p(c3)
| ~ big_p(X0) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_211,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( big_q(c4)
| big_q(X4)
| big_p(X3)
| big_p(X2)
| ~ big_p(c3)
| ~ big_q(X0)
| ~ big_p(X1)
| ~ big_q(f2(X0)) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_225,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( big_q(c4)
| big_p(c3)
| big_q(X4)
| big_q(X2)
| big_p(X3)
| big_q(f2(X2))
| ~ big_p(X1)
| ~ big_p(X0) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_227,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( big_q(c4)
| big_p(c3)
| big_q(X4)
| big_p(X3)
| ~ big_q(X0)
| ~ big_p(X2)
| ~ big_p(X1)
| ~ big_q(f2(X0)) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_234,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_p(c3)
| big_p(c6)
| big_q(X2)
| big_q(f2(X2))
| ~ big_q(c7)
| ~ big_p(c5)
| ~ big_q(X1)
| ~ big_p(X0) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_236,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_p(c3)
| big_p(c6)
| ~ big_q(c7)
| ~ big_p(c5)
| ~ big_q(X2)
| ~ big_q(X0)
| ~ big_p(X1)
| ~ big_q(f2(X0)) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_241,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( big_q(c16)
| big_q(X5)
| big_p(X4)
| big_p(X3)
| ~ big_p(c11)
| ~ big_q(X2)
| ~ big_q(X1)
| ~ big_p(X0) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_243,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( big_q(X5)
| big_q(X4)
| big_p(X3)
| big_p(X2)
| ~ big_q(c16)
| ~ big_p(c11)
| ~ big_q(X1)
| ~ big_p(X0) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_248,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( big_p(X4)
| big_p(X3)
| ~ big_q(c20)
| ~ big_p(c11)
| ~ big_q(X2)
| ~ big_q(X0)
| ~ big_p(X1)
| ~ big_q(f4(X0)) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_257,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( big_q(c16)
| big_p(c11)
| big_q(X5)
| big_p(X4)
| ~ big_q(X3)
| ~ big_q(X2)
| ~ big_p(X1)
| ~ big_p(X0) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_259,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( big_p(c11)
| big_q(X5)
| big_q(X4)
| big_p(X3)
| ~ big_q(c16)
| ~ big_q(X2)
| ~ big_p(X1)
| ~ big_p(X0) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_264,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( big_p(c11)
| big_p(X4)
| ~ big_q(c20)
| ~ big_q(X3)
| ~ big_q(X0)
| ~ big_p(X2)
| ~ big_p(X1)
| ~ big_q(f4(X0)) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_277,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_q(c14)
| big_p(c19)
| big_q(X3)
| big_q(X1)
| big_p(X2)
| big_p(X0)
| big_q(f4(X1))
| big_p(f3(X0)) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_295,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_q(c14)
| big_p(c19)
| big_q(X3)
| big_p(X2)
| ~ big_q(X1)
| ~ big_p(X0)
| ~ big_q(f4(X1))
| ~ big_p(f3(X0)) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_296,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_q(c14)
| big_p(X3)
| ~ big_q(c20)
| ~ big_q(X1)
| ~ big_p(X2)
| ~ big_p(X0)
| ~ big_q(f4(X1))
| ~ big_p(f3(X0)) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_297,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( big_q(c16)
| big_q(X4)
| ~ big_p(c15)
| ~ big_q(X3)
| ~ big_q(X2)
| ~ big_p(X1)
| ~ big_p(X0)
| ~ big_p(f3(X0)) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_299,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( big_q(X4)
| big_q(X3)
| ~ big_q(c16)
| ~ big_p(c15)
| ~ big_q(X2)
| ~ big_p(X1)
| ~ big_p(X0)
| ~ big_p(f3(X0)) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_303,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_p(c19)
| big_q(X3)
| ~ big_p(c15)
| ~ big_q(X2)
| ~ big_q(X1)
| ~ big_p(X0)
| ~ big_q(f4(X1))
| ~ big_p(f3(X0)) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_304,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ big_q(c20)
| ~ big_p(c15)
| ~ big_q(X3)
| ~ big_q(X1)
| ~ big_p(X2)
| ~ big_p(X0)
| ~ big_q(f4(X1))
| ~ big_p(f3(X0)) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_305,plain,
( big_q(c14)
| big_q(c11)
| big_p(c19)
| big_p(c11)
| big_q(f4(c11))
| big_p(f3(c11)) ),
inference(instantiation,[status(thm)],[c_277]) ).
tcf(c_317,plain,
( big_q(c11)
| big_q(c1)
| big_q(f2(c11))
| ~ big_p(c11)
| ~ big_p(c2)
| ~ big_p(f1(c11)) ),
inference(instantiation,[status(thm)],[c_201]) ).
tcf(c_4167,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ~ big_p(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_304]) ).
tcf(c_4168,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ~ big_q(f4(X0))
| ~ big_q(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_304]) ).
tcf(c_4169,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ~ big_q(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_304]) ).
tcf(c_4170,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ~ big_p(f3(X0))
| ~ big_p(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_304]) ).
tcf(c_4171,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ~ big_q(c20)
| ~ big_p(c15) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_304]) ).
tcf(c_4172,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_14
| big_q(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_303]) ).
tcf(c_4178,negated_conjecture,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_10
| ~ big_q(c16)
| ~ big_p(c15) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_299]) ).
tcf(c_4180,negated_conjecture,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_10
| big_q(c16)
| ~ big_p(c15) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_297]) ).
tcf(c_4181,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_16
| big_p(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_296]) ).
tcf(c_4183,negated_conjecture,
( iPr_def_16
| iPr_def_14
| iPr_def_13
| iPr_def_11
| big_q(c14)
| big_p(c19) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_295]) ).
tcf(c_4213,negated_conjecture,
( iPr_def_16
| iPr_def_12
| iPr_def_11
| iPr_def_10
| big_p(c11)
| ~ big_q(c20) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_264]) ).
tcf(c_4218,negated_conjecture,
( iPr_def_16
| iPr_def_14
| iPr_def_12
| iPr_def_10
| big_p(c11)
| ~ big_q(c16) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_259]) ).
tcf(c_4220,negated_conjecture,
( iPr_def_16
| iPr_def_14
| iPr_def_12
| iPr_def_10
| big_q(c16)
| big_p(c11) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_257]) ).
tcf(c_4227,negated_conjecture,
( iPr_def_16
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ~ big_q(c20)
| ~ big_p(c11) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_248]) ).
tcf(c_4232,negated_conjecture,
( iPr_def_16
| iPr_def_14
| iPr_def_12
| iPr_def_10
| ~ big_q(c16)
| ~ big_p(c11) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_243]) ).
tcf(c_4234,negated_conjecture,
( iPr_def_16
| iPr_def_14
| iPr_def_12
| iPr_def_10
| big_q(c16)
| ~ big_p(c11) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_241]) ).
tcf(c_4239,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_18
| ~ big_q(f2(X0))
| ~ big_q(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_236]) ).
tcf(c_4242,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_19
| big_q(f2(X0))
| big_q(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_234]) ).
tcf(c_4250,negated_conjecture,
( iPr_def_18
| iPr_def_16
| iPr_def_14
| iPr_def_10
| big_q(c4)
| big_p(c3) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_227]) ).
tcf(c_4252,negated_conjecture,
( iPr_def_19
| iPr_def_16
| iPr_def_14
| iPr_def_10
| big_q(c4)
| big_p(c3) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_225]) ).
tcf(c_4266,negated_conjecture,
( iPr_def_18
| iPr_def_16
| iPr_def_14
| iPr_def_10
| big_q(c4)
| ~ big_p(c3) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_211]) ).
tcf(c_4268,negated_conjecture,
( iPr_def_19
| iPr_def_16
| iPr_def_14
| iPr_def_10
| big_q(c4)
| ~ big_p(c3) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_209]) ).
tcf(c_4269,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_20
| ~ big_p(f1(X0))
| ~ big_p(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_208]) ).
tcf(c_4275,negated_conjecture,
( iPr_def_20
| iPr_def_19
| iPr_def_14
| iPr_def_10
| big_q(c1)
| ~ big_p(c2) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_201]) ).
tcf(c_4277,negated_conjecture,
( iPr_def_20
| iPr_def_16
| iPr_def_14
| iPr_def_12
| big_p(c9)
| ~ big_q(c8) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_199]) ).
tcf(c_4279,negated_conjecture,
( iPr_def_20
| iPr_def_16
| iPr_def_14
| iPr_def_12
| big_q(c8)
| big_p(c9) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_197]) ).
tcf(c_4280,negated_conjecture,
( iPr_def_20
| iPr_def_18
| iPr_def_16
| iPr_def_12
| big_p(c6)
| ~ big_q(c7) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_196]) ).
tcf(c_4281,negated_conjecture,
( iPr_def_20
| iPr_def_18
| iPr_def_16
| iPr_def_14
| iPr_def_12
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_195]) ).
tcf(c_4283,negated_conjecture,
( iPr_def_20
| iPr_def_19
| iPr_def_16
| iPr_def_14
| iPr_def_12
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_193]) ).
tcf(c_4284,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_21
| big_p(f1(X0))
| big_p(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_192]) ).
tcf(c_4292,negated_conjecture,
( iPr_def_21
| iPr_def_16
| iPr_def_14
| iPr_def_12
| big_p(c9)
| ~ big_q(c8) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_183]) ).
tcf(c_4294,negated_conjecture,
( iPr_def_21
| iPr_def_16
| iPr_def_14
| iPr_def_12
| big_q(c8)
| big_p(c9) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_181]) ).
tcf(c_4295,negated_conjecture,
( iPr_def_21
| iPr_def_18
| iPr_def_16
| iPr_def_12
| big_p(c6)
| ~ big_q(c7) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_180]) ).
tcf(c_4298,negated_conjecture,
( iPr_def_21
| iPr_def_19
| iPr_def_16
| iPr_def_14
| iPr_def_12
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_177]) ).
tcf(c_4299,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ~ big_q(c20)
| ~ big_p(c15) ),
inference(demodulation,[status(thm)],[c_4171]) ).
tcf(c_4323,negated_conjecture,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_10
| ~ big_q(c16)
| ~ big_p(c15) ),
inference(demodulation,[status(thm)],[c_4178]) ).
tcf(c_4333,negated_conjecture,
( iPr_def_14
| iPr_def_13
| iPr_def_12
| iPr_def_10
| big_q(c16)
| ~ big_p(c15) ),
inference(demodulation,[status(thm)],[c_4180]) ).
tcf(c_4344,negated_conjecture,
( iPr_def_16
| iPr_def_14
| iPr_def_13
| iPr_def_11
| big_q(c14)
| big_p(c19) ),
inference(demodulation,[status(thm)],[c_4183]) ).
tcf(c_4374,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ~ big_p(X0)
| ~ big_p(f3(X0)) ),
inference(demodulation,[status(thm)],[c_4170]) ).
tcf(c_4485,negated_conjecture,
( iPr_def_16
| iPr_def_12
| iPr_def_11
| iPr_def_10
| big_p(c11)
| ~ big_q(c20) ),
inference(demodulation,[status(thm)],[c_4213]) ).
tcf(c_4514,negated_conjecture,
( iPr_def_16
| iPr_def_14
| iPr_def_12
| iPr_def_10
| big_p(c11)
| ~ big_q(c16) ),
inference(demodulation,[status(thm)],[c_4218]) ).
tcf(c_4526,negated_conjecture,
( iPr_def_16
| iPr_def_14
| iPr_def_12
| iPr_def_10
| big_q(c16)
| big_p(c11) ),
inference(demodulation,[status(thm)],[c_4220]) ).
tcf(c_4559,negated_conjecture,
( iPr_def_16
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ~ big_q(c20)
| ~ big_p(c11) ),
inference(demodulation,[status(thm)],[c_4227]) ).
tcf(c_4566,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ~ big_q(X0)
| ~ big_q(f4(X0)) ),
inference(demodulation,[status(thm)],[c_4168]) ).
tcf(c_4588,negated_conjecture,
( iPr_def_16
| iPr_def_14
| iPr_def_12
| iPr_def_10
| ~ big_q(c16)
| ~ big_p(c11) ),
inference(demodulation,[status(thm)],[c_4232]) ).
tcf(c_4600,negated_conjecture,
( iPr_def_16
| iPr_def_14
| iPr_def_12
| iPr_def_10
| big_q(c16)
| ~ big_p(c11) ),
inference(demodulation,[status(thm)],[c_4234]) ).
tcf(c_4671,negated_conjecture,
( iPr_def_18
| iPr_def_16
| iPr_def_14
| iPr_def_10
| big_q(c4)
| big_p(c3) ),
inference(demodulation,[status(thm)],[c_4250]) ).
tcf(c_4681,negated_conjecture,
( iPr_def_19
| iPr_def_16
| iPr_def_14
| iPr_def_10
| big_q(c4)
| big_p(c3) ),
inference(demodulation,[status(thm)],[c_4252]) ).
tcf(c_4751,negated_conjecture,
( iPr_def_18
| iPr_def_16
| iPr_def_14
| iPr_def_10
| big_q(c4)
| ~ big_p(c3) ),
inference(demodulation,[status(thm)],[c_4266]) ).
tcf(c_4761,negated_conjecture,
( iPr_def_19
| iPr_def_16
| iPr_def_14
| iPr_def_10
| big_q(c4)
| ~ big_p(c3) ),
inference(demodulation,[status(thm)],[c_4268]) ).
tcf(c_4788,negated_conjecture,
( iPr_def_20
| iPr_def_19
| iPr_def_14
| iPr_def_10
| big_q(c1)
| ~ big_p(c2) ),
inference(demodulation,[status(thm)],[c_4275]) ).
tcf(c_4799,negated_conjecture,
( iPr_def_20
| iPr_def_16
| iPr_def_14
| iPr_def_12
| big_p(c9)
| ~ big_q(c8) ),
inference(demodulation,[status(thm)],[c_4277]) ).
tcf(c_4811,negated_conjecture,
( iPr_def_20
| iPr_def_16
| iPr_def_14
| iPr_def_12
| big_q(c8)
| big_p(c9) ),
inference(demodulation,[status(thm)],[c_4279]) ).
tcf(c_4817,negated_conjecture,
( iPr_def_20
| iPr_def_18
| iPr_def_16
| iPr_def_12
| big_p(c6)
| ~ big_q(c7) ),
inference(demodulation,[status(thm)],[c_4280]) ).
tcf(c_4822,negated_conjecture,
( iPr_def_20
| iPr_def_18
| iPr_def_16
| iPr_def_14
| iPr_def_12
| iPr_def_10 ),
inference(demodulation,[status(thm)],[c_4281]) ).
tcf(c_4834,negated_conjecture,
( iPr_def_20
| iPr_def_19
| iPr_def_16
| iPr_def_14
| iPr_def_12
| iPr_def_10 ),
inference(demodulation,[status(thm)],[c_4283]) ).
tcf(c_4835,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_20
| ~ big_p(X0)
| ~ big_p(f1(X0)) ),
inference(demodulation,[status(thm)],[c_4269]) ).
tcf(c_4873,negated_conjecture,
( iPr_def_21
| iPr_def_16
| iPr_def_14
| iPr_def_12
| big_p(c9)
| ~ big_q(c8) ),
inference(demodulation,[status(thm)],[c_4292]) ).
tcf(c_4885,negated_conjecture,
( iPr_def_21
| iPr_def_16
| iPr_def_14
| iPr_def_12
| big_q(c8)
| big_p(c9) ),
inference(demodulation,[status(thm)],[c_4294]) ).
tcf(c_4891,negated_conjecture,
( iPr_def_21
| iPr_def_18
| iPr_def_16
| iPr_def_12
| big_p(c6)
| ~ big_q(c7) ),
inference(demodulation,[status(thm)],[c_4295]) ).
tcf(c_4897,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_18
| ~ big_q(X0)
| ~ big_q(f2(X0)) ),
inference(demodulation,[status(thm)],[c_4239]) ).
tcf(c_4908,negated_conjecture,
( iPr_def_21
| iPr_def_19
| iPr_def_16
| iPr_def_14
| iPr_def_12
| iPr_def_10 ),
inference(demodulation,[status(thm)],[c_4298]) ).
tcf(c_4909,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ~ big_p(X0) ),
inference(demodulation,[status(thm)],[c_4167]) ).
tcf(c_4910,negated_conjecture,
! [X0: $i] :
( big_q(X0)
| ~ iPr_def_14 ),
inference(demodulation,[status(thm)],[c_4172]) ).
tcf(c_4911,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ~ big_q(X0) ),
inference(demodulation,[status(thm)],[c_4169]) ).
tcf(c_4912,negated_conjecture,
! [X0: $i] :
( big_q(X0)
| big_q(f2(X0))
| ~ iPr_def_19 ),
inference(demodulation,[status(thm)],[c_4242]) ).
tcf(c_4913,negated_conjecture,
! [X0: $i] :
( big_p(X0)
| big_p(f1(X0))
| ~ iPr_def_21 ),
inference(demodulation,[status(thm)],[c_4284]) ).
tcf(c_4914,negated_conjecture,
! [X0: $i] :
( big_p(X0)
| ~ iPr_def_16 ),
inference(demodulation,[status(thm)],[c_4181]) ).
tcf(c_4916,plain,
( big_p(c11)
| ~ iPr_def_16 ),
inference(instantiation,[status(thm)],[c_4914]) ).
tcf(c_4917,plain,
( ~ iPr_def_10
| ~ big_p(c11) ),
inference(instantiation,[status(thm)],[c_4909]) ).
tcf(c_4918,plain,
( ~ iPr_def_12
| ~ big_q(c11) ),
inference(instantiation,[status(thm)],[c_4911]) ).
tcf(c_4928,plain,
( big_q(c20)
| ~ iPr_def_14 ),
inference(instantiation,[status(thm)],[c_4910]) ).
tcf(c_4935,plain,
( big_q(c7)
| ~ iPr_def_14 ),
inference(instantiation,[status(thm)],[c_4910]) ).
tcf(c_4943,plain,
( ~ iPr_def_10
| ~ big_p(c6) ),
inference(instantiation,[status(thm)],[c_4909]) ).
tcf(c_4947,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ big_p(f1(X0)) ),
inference(instantiation,[status(thm)],[c_4909]) ).
tcf(c_4951,plain,
( big_p(c2)
| ~ iPr_def_16 ),
inference(instantiation,[status(thm)],[c_4914]) ).
tcf(c_4955,plain,
( big_p(c15)
| ~ iPr_def_16 ),
inference(instantiation,[status(thm)],[c_4914]) ).
tcf(c_4957,plain,
! [X0: $i] :
( big_p(f1(X0))
| ~ iPr_def_16 ),
inference(instantiation,[status(thm)],[c_4914]) ).
tcf(c_4958,plain,
( big_p(f1(c11))
| ~ iPr_def_16 ),
inference(instantiation,[status(thm)],[c_4957]) ).
tcf(c_4960,plain,
! [X0: $i] :
( big_p(f3(X0))
| ~ iPr_def_16 ),
inference(instantiation,[status(thm)],[c_4914]) ).
tcf(c_4964,plain,
! [X0: $i] :
( big_q(f4(X0))
| ~ iPr_def_14 ),
inference(instantiation,[status(thm)],[c_4910]) ).
tcf(c_4973,plain,
( ~ iPr_def_12
| ~ big_q(c14) ),
inference(instantiation,[status(thm)],[c_4911]) ).
tcf(c_4976,plain,
( ~ iPr_def_12
| ~ big_q(c4) ),
inference(instantiation,[status(thm)],[c_4911]) ).
tcf(c_4979,plain,
( ~ iPr_def_12
| ~ big_q(c1) ),
inference(instantiation,[status(thm)],[c_4911]) ).
tcf(c_4985,plain,
! [X0: $i] :
( ~ iPr_def_12
| ~ big_q(f4(X0)) ),
inference(instantiation,[status(thm)],[c_4911]) ).
tcf(c_4986,plain,
( ~ iPr_def_12
| ~ big_q(f4(c11)) ),
inference(instantiation,[status(thm)],[c_4985]) ).
tcf(c_5002,plain,
! [X0: $i] :
( ~ iPr_def_12
| ~ big_q(f2(X0)) ),
inference(instantiation,[status(thm)],[c_4911]) ).
tcf(c_5003,plain,
( ~ iPr_def_12
| ~ big_q(f2(c11)) ),
inference(instantiation,[status(thm)],[c_5002]) ).
tcf(c_5006,plain,
( ~ iPr_def_10
| ~ big_p(c9) ),
inference(instantiation,[status(thm)],[c_4909]) ).
tcf(c_5009,plain,
( ~ iPr_def_10
| ~ big_p(c19) ),
inference(instantiation,[status(thm)],[c_4909]) ).
tcf(c_5011,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ big_p(f3(X0)) ),
inference(instantiation,[status(thm)],[c_4909]) ).
tcf(c_5012,plain,
( ~ iPr_def_10
| ~ big_p(f3(c11)) ),
inference(instantiation,[status(thm)],[c_5011]) ).
tcf(c_5014,plain,
! [X0: $i] :
( big_q(f2(X0))
| ~ iPr_def_14 ),
inference(instantiation,[status(thm)],[c_4910]) ).
tcf(c_5015,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5014,c_5012,c_5009,c_5006,c_5003,c_5002,c_4986,c_4979,c_4976,c_4973,c_4964,c_4960,c_4958,c_4957,c_4955,c_4951,c_4947,c_4943,c_4935,c_4928,c_4588,c_4559,c_4323,c_4299,c_4835,c_4897,c_4566,c_4374,c_4891,c_4873,c_4817,c_4799,c_4788,c_4761,c_4751,c_4600,c_4514,c_4485,c_4333,c_4885,c_4811,c_4681,c_4671,c_4526,c_4344,c_4913,c_4912,c_4908,c_4834,c_4822,c_4918,c_4911,c_4917,c_4909,c_4916,c_4914,c_4910,c_317,c_305]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN036-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 23:55:57 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 3.35/1.28 % SZS status Started for theBenchmark.p
% 3.35/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.35/1.28
% 3.35/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.35/1.28
% 3.35/1.28 % ------ iProver source info
% 3.35/1.28
% 3.35/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.35/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.35/1.28 % git: non_committed_changes: false
% 3.35/1.28
% 3.35/1.28 % ------ Parsing...% successful
% 3.35/1.28
% 3.35/1.28
% 3.35/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.35/1.28
% 3.35/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.35/1.28
% 3.35/1.28 % ------ Preprocessing... gs_s sp: 496 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.35/1.28 % ------ Proving...
% 3.35/1.28 % ------ Problem Properties
% 3.35/1.28
% 3.35/1.28 %
% 3.35/1.28 % clauses 132
% 3.35/1.28 % conjectures 132
% 3.35/1.28 % EPR 124
% 3.35/1.28 % Horn 8
% 3.35/1.28 % unary 0
% 3.35/1.28 % binary 4
% 3.35/1.28 % lits 808
% 3.35/1.28 % lits eq 0
% 3.35/1.28 % fd_pure 0
% 3.35/1.28 % fd_pseudo 0
% 3.35/1.28 % fd_cond 0
% 3.35/1.28 % fd_pseudo_cond 0
% 3.35/1.28 % AC symbols 0
% 3.35/1.28
% 3.35/1.28 % ------ Schedule dynamic 5 is on
% 3.35/1.28
% 3.35/1.28 % ------ no equalities: superposition off
% 3.35/1.28
% 3.35/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.35/1.28
% 3.35/1.28
% 3.35/1.28 % ------
% 3.35/1.28 % Current options:
% 3.35/1.28 % ------
% 3.35/1.28
% 3.35/1.28
% 3.35/1.28 %
% 3.35/1.28
% 3.35/1.28 % ------ Proving...
% 3.35/1.28 %
% 3.35/1.28
% 3.35/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.35/1.28
% 3.35/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.35/1.29
% 3.35/1.29
%------------------------------------------------------------------------------