%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN010-1.005.005 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n007.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 03:33:19 PM UTC 2026
% Result : Unsatisfiable 6.52s 1.34s
% Output : Proof 6.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 67
% Number of leaves : 28
% Syntax : Number of formulae : 412 ( 328 unt; 0 def)
% Number of atoms : 832 ( 308 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 846 ( 426 ~; 420 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 28 ( 26 usr; 27 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-4 aty)
% Number of variables : 6 ( 2 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f1,negated_conjecture,
( ~ p_1_5
| ~ p_1_4
| ~ p_1_3
| ~ p_1_2
| ~ p_1_1
| p_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f1_nnf,plain,
( ~ p_1_5
| ~ p_1_4
| ~ p_1_3
| ~ p_1_2
| ~ p_1_1
| p_0 ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
( ~ p_1_5
| ~ p_1_4
| ~ p_1_3
| ~ p_1_2
| ~ p_1_1
| p_0 ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( ~ p_1_5
| ~ p_1_4
| ~ p_1_3
| ~ p_1_2
| ~ p_1_1
| p_0 ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(t6,plain,
ifeq(p_1_1,true,ifeq(p_1_2,true,ifeq(p_1_3,true,ifeq(p_1_4,true,ifeq(p_1_5,true,p_0,true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(t48,plain,
ifeq(p_1_1,true,ifeq(p_1_2,true,ifeq(p_1_3,true,ifeq(p_1_4,true,ifeq(p_1_5,true,p_0,true),true),true),true),true) = true,
inference(orient,[status(thm)],[t6]) ).
cnf(f6,negated_conjecture,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f6_nnf,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_5 ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_5 ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_5 ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(t11,plain,
ifeq(p_2_1,true,ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,ifeq(p_2_5,true,p_1_5,true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(t42,plain,
ifeq(p_2_1,true,ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,ifeq(p_2_5,true,p_1_5,true),true),true),true),true) = true,
inference(orient,[status(thm)],[t11]) ).
cnf(f11,negated_conjecture,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12) ).
fof(f11_nnf,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_5 ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_5 ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_5 ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(t16,plain,
ifeq(p_3_1,true,ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,ifeq(p_3_5,true,p_2_5,true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(t47,plain,
ifeq(p_3_1,true,ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,ifeq(p_3_5,true,p_2_5,true),true),true),true),true) = true,
inference(orient,[status(thm)],[t16]) ).
cnf(f16,negated_conjecture,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17) ).
fof(f16_nnf,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_5 ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_5 ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_5 ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(t21,plain,
ifeq(p_4_1,true,ifeq(p_4_2,true,ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_5,true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c16]) ).
cnf(t37,plain,
ifeq(p_4_1,true,ifeq(p_4_2,true,ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_5,true),true),true),true),true) = true,
inference(orient,[status(thm)],[t21]) ).
cnf(f17,negated_conjecture,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18) ).
fof(f17_nnf,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_1 ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_1 ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c17,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_1 ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(t22,plain,
ifeq(p_5_1,true,ifeq(p_5_2,true,ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_1,true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c17]) ).
cnf(t28,plain,
ifeq(p_5_1,true,ifeq(p_5_2,true,ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_1,true),true),true),true),true) = true,
inference(orient,[status(thm)],[t22]) ).
cnf(f22,negated_conjecture,
p_5_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_23) ).
fof(f22_nnf,plain,
p_5_1,
inference(nnf_transformation,[status(thm)],[f22]) ).
cnf(c22,plain,
p_5_1,
inference(cnf_transformation,[status(esa)],[f22_nnf]) ).
cnf(t0,plain,
true = p_5_1,
inference(equality_encoding,[status(esa)],[c22]) ).
cnf(t49,plain,
p_5_1 = true,
inference(orient,[status(thm)],[t0]) ).
cnf(t96,plain,
ifeq(true,true,ifeq(p_5_2,true,ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_1,true),true),true),true),true) = true,
inference(step,[status(thm)],[t28,t49]) ).
cnf(t5,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t27,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t5]) ).
cnf(t97,plain,
ifeq(p_5_2,true,ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_1,true),true),true),true) = true,
inference(step,[status(thm)],[t96,t27]) ).
cnf(t50,plain,
ifeq(p_5_2,true,ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_1,true),true),true),true) = true,
inference(rw,[status(thm)],[t97]) ).
cnf(f23,negated_conjecture,
p_5_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_24) ).
fof(f23_nnf,plain,
p_5_2,
inference(nnf_transformation,[status(thm)],[f23]) ).
cnf(c23,plain,
p_5_2,
inference(cnf_transformation,[status(esa)],[f23_nnf]) ).
cnf(t1,plain,
true = p_5_2,
inference(equality_encoding,[status(esa)],[c23]) ).
cnf(t55,plain,
p_5_2 = true,
inference(orient,[status(thm)],[t1]) ).
cnf(t106,plain,
ifeq(true,true,ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_1,true),true),true),true) = true,
inference(step,[status(thm)],[t50,t55]) ).
cnf(t107,plain,
ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_1,true),true),true) = true,
inference(step,[status(thm)],[t106,t27]) ).
cnf(f24,negated_conjecture,
p_5_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_25) ).
fof(f24_nnf,plain,
p_5_3,
inference(nnf_transformation,[status(thm)],[f24]) ).
cnf(c24,plain,
p_5_3,
inference(cnf_transformation,[status(esa)],[f24_nnf]) ).
cnf(t2,plain,
true = p_5_3,
inference(equality_encoding,[status(esa)],[c24]) ).
cnf(t56,plain,
p_5_3 = true,
inference(orient,[status(thm)],[t2]) ).
cnf(t108,plain,
ifeq(true,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_1,true),true),true) = true,
inference(step,[status(thm)],[t107,t56]) ).
cnf(t109,plain,
ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_1,true),true) = true,
inference(step,[status(thm)],[t108,t27]) ).
cnf(f25,negated_conjecture,
p_5_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_26) ).
fof(f25_nnf,plain,
p_5_4,
inference(nnf_transformation,[status(thm)],[f25]) ).
cnf(c25,plain,
p_5_4,
inference(cnf_transformation,[status(esa)],[f25_nnf]) ).
cnf(t3,plain,
true = p_5_4,
inference(equality_encoding,[status(esa)],[c25]) ).
cnf(t57,plain,
p_5_4 = true,
inference(orient,[status(thm)],[t3]) ).
cnf(t110,plain,
ifeq(true,true,ifeq(p_5_5,true,p_4_1,true),true) = true,
inference(step,[status(thm)],[t109,t57]) ).
cnf(t111,plain,
ifeq(p_5_5,true,p_4_1,true) = true,
inference(step,[status(thm)],[t110,t27]) ).
cnf(f26,negated_conjecture,
p_5_5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_27) ).
fof(f26_nnf,plain,
p_5_5,
inference(nnf_transformation,[status(thm)],[f26]) ).
cnf(c26,plain,
p_5_5,
inference(cnf_transformation,[status(esa)],[f26_nnf]) ).
cnf(t4,plain,
true = p_5_5,
inference(equality_encoding,[status(esa)],[c26]) ).
cnf(t58,plain,
p_5_5 = true,
inference(orient,[status(thm)],[t4]) ).
cnf(t112,plain,
ifeq(true,true,p_4_1,true) = true,
inference(step,[status(thm)],[t111,t58]) ).
cnf(t113,plain,
p_4_1 = true,
inference(step,[status(thm)],[t112,t27]) ).
cnf(t59,plain,
p_4_1 = true,
inference(orient,[status(thm)],[t113]) ).
cnf(t114,plain,
ifeq(true,true,ifeq(p_4_2,true,ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_5,true),true),true),true),true) = true,
inference(step,[status(thm)],[t37,t59]) ).
cnf(t115,plain,
ifeq(p_4_2,true,ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_5,true),true),true),true) = true,
inference(step,[status(thm)],[t114,t27]) ).
cnf(t60,plain,
ifeq(p_4_2,true,ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_5,true),true),true),true) = true,
inference(rw,[status(thm)],[t115]) ).
cnf(f18,negated_conjecture,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19) ).
fof(f18_nnf,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_2 ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_2 ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_2 ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(t23,plain,
ifeq(p_5_1,true,ifeq(p_5_2,true,ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_2,true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(t29,plain,
ifeq(p_5_1,true,ifeq(p_5_2,true,ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_2,true),true),true),true),true) = true,
inference(orient,[status(thm)],[t23]) ).
cnf(t104,plain,
ifeq(true,true,ifeq(p_5_2,true,ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_2,true),true),true),true),true) = true,
inference(step,[status(thm)],[t29,t49]) ).
cnf(t105,plain,
ifeq(p_5_2,true,ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_2,true),true),true),true) = true,
inference(step,[status(thm)],[t104,t27]) ).
cnf(t54,plain,
ifeq(p_5_2,true,ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_2,true),true),true),true) = true,
inference(rw,[status(thm)],[t105]) ).
cnf(t148,plain,
ifeq(true,true,ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_2,true),true),true),true) = true,
inference(step,[status(thm)],[t54,t55]) ).
cnf(t149,plain,
ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_2,true),true),true) = true,
inference(step,[status(thm)],[t148,t27]) ).
cnf(t150,plain,
ifeq(true,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_2,true),true),true) = true,
inference(step,[status(thm)],[t149,t56]) ).
cnf(t151,plain,
ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_2,true),true) = true,
inference(step,[status(thm)],[t150,t27]) ).
cnf(t152,plain,
ifeq(true,true,ifeq(p_5_5,true,p_4_2,true),true) = true,
inference(step,[status(thm)],[t151,t57]) ).
cnf(t153,plain,
ifeq(p_5_5,true,p_4_2,true) = true,
inference(step,[status(thm)],[t152,t27]) ).
cnf(t154,plain,
ifeq(true,true,p_4_2,true) = true,
inference(step,[status(thm)],[t153,t58]) ).
cnf(t155,plain,
p_4_2 = true,
inference(step,[status(thm)],[t154,t27]) ).
cnf(t68,plain,
p_4_2 = true,
inference(orient,[status(thm)],[t155]) ).
cnf(t156,plain,
ifeq(true,true,ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_5,true),true),true),true) = true,
inference(step,[status(thm)],[t60,t68]) ).
cnf(t157,plain,
ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_5,true),true),true) = true,
inference(step,[status(thm)],[t156,t27]) ).
cnf(f19,negated_conjecture,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20) ).
fof(f19_nnf,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_3 ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_3 ),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c19,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_3 ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(t24,plain,
ifeq(p_5_1,true,ifeq(p_5_2,true,ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_3,true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c19]) ).
cnf(t30,plain,
ifeq(p_5_1,true,ifeq(p_5_2,true,ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_3,true),true),true),true),true) = true,
inference(orient,[status(thm)],[t24]) ).
cnf(t102,plain,
ifeq(true,true,ifeq(p_5_2,true,ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_3,true),true),true),true),true) = true,
inference(step,[status(thm)],[t30,t49]) ).
cnf(t103,plain,
ifeq(p_5_2,true,ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_3,true),true),true),true) = true,
inference(step,[status(thm)],[t102,t27]) ).
cnf(t53,plain,
ifeq(p_5_2,true,ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_3,true),true),true),true) = true,
inference(rw,[status(thm)],[t103]) ).
cnf(t140,plain,
ifeq(true,true,ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_3,true),true),true),true) = true,
inference(step,[status(thm)],[t53,t55]) ).
cnf(t141,plain,
ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_3,true),true),true) = true,
inference(step,[status(thm)],[t140,t27]) ).
cnf(t142,plain,
ifeq(true,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_3,true),true),true) = true,
inference(step,[status(thm)],[t141,t56]) ).
cnf(t143,plain,
ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_3,true),true) = true,
inference(step,[status(thm)],[t142,t27]) ).
cnf(t144,plain,
ifeq(true,true,ifeq(p_5_5,true,p_4_3,true),true) = true,
inference(step,[status(thm)],[t143,t57]) ).
cnf(t145,plain,
ifeq(p_5_5,true,p_4_3,true) = true,
inference(step,[status(thm)],[t144,t27]) ).
cnf(t146,plain,
ifeq(true,true,p_4_3,true) = true,
inference(step,[status(thm)],[t145,t58]) ).
cnf(t147,plain,
p_4_3 = true,
inference(step,[status(thm)],[t146,t27]) ).
cnf(t67,plain,
p_4_3 = true,
inference(orient,[status(thm)],[t147]) ).
cnf(t158,plain,
ifeq(true,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_5,true),true),true) = true,
inference(step,[status(thm)],[t157,t67]) ).
cnf(t159,plain,
ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_5,true),true) = true,
inference(step,[status(thm)],[t158,t27]) ).
cnf(f20,negated_conjecture,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_21) ).
fof(f20_nnf,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_4 ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_4 ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_4 ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(t25,plain,
ifeq(p_5_1,true,ifeq(p_5_2,true,ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_4,true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c20]) ).
cnf(t31,plain,
ifeq(p_5_1,true,ifeq(p_5_2,true,ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_4,true),true),true),true),true) = true,
inference(orient,[status(thm)],[t25]) ).
cnf(t100,plain,
ifeq(true,true,ifeq(p_5_2,true,ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_4,true),true),true),true),true) = true,
inference(step,[status(thm)],[t31,t49]) ).
cnf(t101,plain,
ifeq(p_5_2,true,ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_4,true),true),true),true) = true,
inference(step,[status(thm)],[t100,t27]) ).
cnf(t52,plain,
ifeq(p_5_2,true,ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_4,true),true),true),true) = true,
inference(rw,[status(thm)],[t101]) ).
cnf(t132,plain,
ifeq(true,true,ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_4,true),true),true),true) = true,
inference(step,[status(thm)],[t52,t55]) ).
cnf(t133,plain,
ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_4,true),true),true) = true,
inference(step,[status(thm)],[t132,t27]) ).
cnf(t134,plain,
ifeq(true,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_4,true),true),true) = true,
inference(step,[status(thm)],[t133,t56]) ).
cnf(t135,plain,
ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_4,true),true) = true,
inference(step,[status(thm)],[t134,t27]) ).
cnf(t136,plain,
ifeq(true,true,ifeq(p_5_5,true,p_4_4,true),true) = true,
inference(step,[status(thm)],[t135,t57]) ).
cnf(t137,plain,
ifeq(p_5_5,true,p_4_4,true) = true,
inference(step,[status(thm)],[t136,t27]) ).
cnf(t138,plain,
ifeq(true,true,p_4_4,true) = true,
inference(step,[status(thm)],[t137,t58]) ).
cnf(t139,plain,
p_4_4 = true,
inference(step,[status(thm)],[t138,t27]) ).
cnf(t66,plain,
p_4_4 = true,
inference(orient,[status(thm)],[t139]) ).
cnf(t160,plain,
ifeq(true,true,ifeq(p_4_5,true,p_3_5,true),true) = true,
inference(step,[status(thm)],[t159,t66]) ).
cnf(t161,plain,
ifeq(p_4_5,true,p_3_5,true) = true,
inference(step,[status(thm)],[t160,t27]) ).
cnf(f21,negated_conjecture,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_22) ).
fof(f21_nnf,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_5 ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_5 ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_5 ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(t26,plain,
ifeq(p_5_1,true,ifeq(p_5_2,true,ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_5,true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c21]) ).
cnf(t32,plain,
ifeq(p_5_1,true,ifeq(p_5_2,true,ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_5,true),true),true),true),true) = true,
inference(orient,[status(thm)],[t26]) ).
cnf(t98,plain,
ifeq(true,true,ifeq(p_5_2,true,ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_5,true),true),true),true),true) = true,
inference(step,[status(thm)],[t32,t49]) ).
cnf(t99,plain,
ifeq(p_5_2,true,ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_5,true),true),true),true) = true,
inference(step,[status(thm)],[t98,t27]) ).
cnf(t51,plain,
ifeq(p_5_2,true,ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_5,true),true),true),true) = true,
inference(rw,[status(thm)],[t99]) ).
cnf(t124,plain,
ifeq(true,true,ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_5,true),true),true),true) = true,
inference(step,[status(thm)],[t51,t55]) ).
cnf(t125,plain,
ifeq(p_5_3,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_5,true),true),true) = true,
inference(step,[status(thm)],[t124,t27]) ).
cnf(t126,plain,
ifeq(true,true,ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_5,true),true),true) = true,
inference(step,[status(thm)],[t125,t56]) ).
cnf(t127,plain,
ifeq(p_5_4,true,ifeq(p_5_5,true,p_4_5,true),true) = true,
inference(step,[status(thm)],[t126,t27]) ).
cnf(t128,plain,
ifeq(true,true,ifeq(p_5_5,true,p_4_5,true),true) = true,
inference(step,[status(thm)],[t127,t57]) ).
cnf(t129,plain,
ifeq(p_5_5,true,p_4_5,true) = true,
inference(step,[status(thm)],[t128,t27]) ).
cnf(t130,plain,
ifeq(true,true,p_4_5,true) = true,
inference(step,[status(thm)],[t129,t58]) ).
cnf(t131,plain,
p_4_5 = true,
inference(step,[status(thm)],[t130,t27]) ).
cnf(t65,plain,
p_4_5 = true,
inference(orient,[status(thm)],[t131]) ).
cnf(t162,plain,
ifeq(true,true,p_3_5,true) = true,
inference(step,[status(thm)],[t161,t65]) ).
cnf(t163,plain,
p_3_5 = true,
inference(step,[status(thm)],[t162,t27]) ).
cnf(t69,plain,
p_3_5 = true,
inference(orient,[status(thm)],[t163]) ).
cnf(t164,plain,
ifeq(p_3_1,true,ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,ifeq(true,true,p_2_5,true),true),true),true),true) = true,
inference(step,[status(thm)],[t47,t69]) ).
cnf(t165,plain,
ifeq(p_3_1,true,ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,p_2_5,true),true),true),true) = true,
inference(step,[status(thm)],[t164,t27]) ).
cnf(t70,plain,
ifeq(p_3_1,true,ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,p_2_5,true),true),true),true) = true,
inference(rw,[status(thm)],[t165]) ).
cnf(f12,negated_conjecture,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13) ).
fof(f12_nnf,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_1 ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_1 ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_1 ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(t17,plain,
ifeq(p_4_1,true,ifeq(p_4_2,true,ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_1,true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c12]) ).
cnf(t33,plain,
ifeq(p_4_1,true,ifeq(p_4_2,true,ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_1,true),true),true),true),true) = true,
inference(orient,[status(thm)],[t17]) ).
cnf(t122,plain,
ifeq(true,true,ifeq(p_4_2,true,ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_1,true),true),true),true),true) = true,
inference(step,[status(thm)],[t33,t59]) ).
cnf(t123,plain,
ifeq(p_4_2,true,ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_1,true),true),true),true) = true,
inference(step,[status(thm)],[t122,t27]) ).
cnf(t64,plain,
ifeq(p_4_2,true,ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_1,true),true),true),true) = true,
inference(rw,[status(thm)],[t123]) ).
cnf(t198,plain,
ifeq(true,true,ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_1,true),true),true),true) = true,
inference(step,[status(thm)],[t64,t68]) ).
cnf(t199,plain,
ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_1,true),true),true) = true,
inference(step,[status(thm)],[t198,t27]) ).
cnf(t200,plain,
ifeq(true,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_1,true),true),true) = true,
inference(step,[status(thm)],[t199,t67]) ).
cnf(t201,plain,
ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_1,true),true) = true,
inference(step,[status(thm)],[t200,t27]) ).
cnf(t202,plain,
ifeq(true,true,ifeq(p_4_5,true,p_3_1,true),true) = true,
inference(step,[status(thm)],[t201,t66]) ).
cnf(t203,plain,
ifeq(p_4_5,true,p_3_1,true) = true,
inference(step,[status(thm)],[t202,t27]) ).
cnf(t204,plain,
ifeq(true,true,p_3_1,true) = true,
inference(step,[status(thm)],[t203,t65]) ).
cnf(t205,plain,
p_3_1 = true,
inference(step,[status(thm)],[t204,t27]) ).
cnf(t78,plain,
p_3_1 = true,
inference(orient,[status(thm)],[t205]) ).
cnf(t206,plain,
ifeq(true,true,ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,p_2_5,true),true),true),true) = true,
inference(step,[status(thm)],[t70,t78]) ).
cnf(t207,plain,
ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,p_2_5,true),true),true) = true,
inference(step,[status(thm)],[t206,t27]) ).
cnf(f13,negated_conjecture,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).
fof(f13_nnf,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_2 ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_2 ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_2 ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(t18,plain,
ifeq(p_4_1,true,ifeq(p_4_2,true,ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_2,true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(t34,plain,
ifeq(p_4_1,true,ifeq(p_4_2,true,ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_2,true),true),true),true),true) = true,
inference(orient,[status(thm)],[t18]) ).
cnf(t120,plain,
ifeq(true,true,ifeq(p_4_2,true,ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_2,true),true),true),true),true) = true,
inference(step,[status(thm)],[t34,t59]) ).
cnf(t121,plain,
ifeq(p_4_2,true,ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_2,true),true),true),true) = true,
inference(step,[status(thm)],[t120,t27]) ).
cnf(t63,plain,
ifeq(p_4_2,true,ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_2,true),true),true),true) = true,
inference(rw,[status(thm)],[t121]) ).
cnf(t190,plain,
ifeq(true,true,ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_2,true),true),true),true) = true,
inference(step,[status(thm)],[t63,t68]) ).
cnf(t191,plain,
ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_2,true),true),true) = true,
inference(step,[status(thm)],[t190,t27]) ).
cnf(t192,plain,
ifeq(true,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_2,true),true),true) = true,
inference(step,[status(thm)],[t191,t67]) ).
cnf(t193,plain,
ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_2,true),true) = true,
inference(step,[status(thm)],[t192,t27]) ).
cnf(t194,plain,
ifeq(true,true,ifeq(p_4_5,true,p_3_2,true),true) = true,
inference(step,[status(thm)],[t193,t66]) ).
cnf(t195,plain,
ifeq(p_4_5,true,p_3_2,true) = true,
inference(step,[status(thm)],[t194,t27]) ).
cnf(t196,plain,
ifeq(true,true,p_3_2,true) = true,
inference(step,[status(thm)],[t195,t65]) ).
cnf(t197,plain,
p_3_2 = true,
inference(step,[status(thm)],[t196,t27]) ).
cnf(t77,plain,
p_3_2 = true,
inference(orient,[status(thm)],[t197]) ).
cnf(t208,plain,
ifeq(true,true,ifeq(p_3_3,true,ifeq(p_3_4,true,p_2_5,true),true),true) = true,
inference(step,[status(thm)],[t207,t77]) ).
cnf(t209,plain,
ifeq(p_3_3,true,ifeq(p_3_4,true,p_2_5,true),true) = true,
inference(step,[status(thm)],[t208,t27]) ).
cnf(f14,negated_conjecture,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
fof(f14_nnf,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_3 ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_3 ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_3 ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(t19,plain,
ifeq(p_4_1,true,ifeq(p_4_2,true,ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_3,true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c14]) ).
cnf(t35,plain,
ifeq(p_4_1,true,ifeq(p_4_2,true,ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_3,true),true),true),true),true) = true,
inference(orient,[status(thm)],[t19]) ).
cnf(t118,plain,
ifeq(true,true,ifeq(p_4_2,true,ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_3,true),true),true),true),true) = true,
inference(step,[status(thm)],[t35,t59]) ).
cnf(t119,plain,
ifeq(p_4_2,true,ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_3,true),true),true),true) = true,
inference(step,[status(thm)],[t118,t27]) ).
cnf(t62,plain,
ifeq(p_4_2,true,ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_3,true),true),true),true) = true,
inference(rw,[status(thm)],[t119]) ).
cnf(t182,plain,
ifeq(true,true,ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_3,true),true),true),true) = true,
inference(step,[status(thm)],[t62,t68]) ).
cnf(t183,plain,
ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_3,true),true),true) = true,
inference(step,[status(thm)],[t182,t27]) ).
cnf(t184,plain,
ifeq(true,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_3,true),true),true) = true,
inference(step,[status(thm)],[t183,t67]) ).
cnf(t185,plain,
ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_3,true),true) = true,
inference(step,[status(thm)],[t184,t27]) ).
cnf(t186,plain,
ifeq(true,true,ifeq(p_4_5,true,p_3_3,true),true) = true,
inference(step,[status(thm)],[t185,t66]) ).
cnf(t187,plain,
ifeq(p_4_5,true,p_3_3,true) = true,
inference(step,[status(thm)],[t186,t27]) ).
cnf(t188,plain,
ifeq(true,true,p_3_3,true) = true,
inference(step,[status(thm)],[t187,t65]) ).
cnf(t189,plain,
p_3_3 = true,
inference(step,[status(thm)],[t188,t27]) ).
cnf(t76,plain,
p_3_3 = true,
inference(orient,[status(thm)],[t189]) ).
cnf(t210,plain,
ifeq(true,true,ifeq(p_3_4,true,p_2_5,true),true) = true,
inference(step,[status(thm)],[t209,t76]) ).
cnf(t211,plain,
ifeq(p_3_4,true,p_2_5,true) = true,
inference(step,[status(thm)],[t210,t27]) ).
cnf(f15,negated_conjecture,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).
fof(f15_nnf,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_4 ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_4 ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_4 ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(t20,plain,
ifeq(p_4_1,true,ifeq(p_4_2,true,ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_4,true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c15]) ).
cnf(t36,plain,
ifeq(p_4_1,true,ifeq(p_4_2,true,ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_4,true),true),true),true),true) = true,
inference(orient,[status(thm)],[t20]) ).
cnf(t116,plain,
ifeq(true,true,ifeq(p_4_2,true,ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_4,true),true),true),true),true) = true,
inference(step,[status(thm)],[t36,t59]) ).
cnf(t117,plain,
ifeq(p_4_2,true,ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_4,true),true),true),true) = true,
inference(step,[status(thm)],[t116,t27]) ).
cnf(t61,plain,
ifeq(p_4_2,true,ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_4,true),true),true),true) = true,
inference(rw,[status(thm)],[t117]) ).
cnf(t174,plain,
ifeq(true,true,ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_4,true),true),true),true) = true,
inference(step,[status(thm)],[t61,t68]) ).
cnf(t175,plain,
ifeq(p_4_3,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_4,true),true),true) = true,
inference(step,[status(thm)],[t174,t27]) ).
cnf(t176,plain,
ifeq(true,true,ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_4,true),true),true) = true,
inference(step,[status(thm)],[t175,t67]) ).
cnf(t177,plain,
ifeq(p_4_4,true,ifeq(p_4_5,true,p_3_4,true),true) = true,
inference(step,[status(thm)],[t176,t27]) ).
cnf(t178,plain,
ifeq(true,true,ifeq(p_4_5,true,p_3_4,true),true) = true,
inference(step,[status(thm)],[t177,t66]) ).
cnf(t179,plain,
ifeq(p_4_5,true,p_3_4,true) = true,
inference(step,[status(thm)],[t178,t27]) ).
cnf(t180,plain,
ifeq(true,true,p_3_4,true) = true,
inference(step,[status(thm)],[t179,t65]) ).
cnf(t181,plain,
p_3_4 = true,
inference(step,[status(thm)],[t180,t27]) ).
cnf(t75,plain,
p_3_4 = true,
inference(orient,[status(thm)],[t181]) ).
cnf(t212,plain,
ifeq(true,true,p_2_5,true) = true,
inference(step,[status(thm)],[t211,t75]) ).
cnf(t213,plain,
p_2_5 = true,
inference(step,[status(thm)],[t212,t27]) ).
cnf(t79,plain,
p_2_5 = true,
inference(orient,[status(thm)],[t213]) ).
cnf(t214,plain,
ifeq(p_2_1,true,ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,ifeq(true,true,p_1_5,true),true),true),true),true) = true,
inference(step,[status(thm)],[t42,t79]) ).
cnf(t215,plain,
ifeq(p_2_1,true,ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,p_1_5,true),true),true),true) = true,
inference(step,[status(thm)],[t214,t27]) ).
cnf(t80,plain,
ifeq(p_2_1,true,ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,p_1_5,true),true),true),true) = true,
inference(rw,[status(thm)],[t215]) ).
cnf(f7,negated_conjecture,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
fof(f7_nnf,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_1 ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_1 ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_1 ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(t12,plain,
ifeq(p_3_1,true,ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,ifeq(p_3_5,true,p_2_1,true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(t43,plain,
ifeq(p_3_1,true,ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,ifeq(p_3_5,true,p_2_1,true),true),true),true),true) = true,
inference(orient,[status(thm)],[t12]) ).
cnf(t172,plain,
ifeq(p_3_1,true,ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,ifeq(true,true,p_2_1,true),true),true),true),true) = true,
inference(step,[status(thm)],[t43,t69]) ).
cnf(t173,plain,
ifeq(p_3_1,true,ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,p_2_1,true),true),true),true) = true,
inference(step,[status(thm)],[t172,t27]) ).
cnf(t74,plain,
ifeq(p_3_1,true,ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,p_2_1,true),true),true),true) = true,
inference(rw,[status(thm)],[t173]) ).
cnf(t248,plain,
ifeq(true,true,ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,p_2_1,true),true),true),true) = true,
inference(step,[status(thm)],[t74,t78]) ).
cnf(t249,plain,
ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,p_2_1,true),true),true) = true,
inference(step,[status(thm)],[t248,t27]) ).
cnf(t250,plain,
ifeq(true,true,ifeq(p_3_3,true,ifeq(p_3_4,true,p_2_1,true),true),true) = true,
inference(step,[status(thm)],[t249,t77]) ).
cnf(t251,plain,
ifeq(p_3_3,true,ifeq(p_3_4,true,p_2_1,true),true) = true,
inference(step,[status(thm)],[t250,t27]) ).
cnf(t252,plain,
ifeq(true,true,ifeq(p_3_4,true,p_2_1,true),true) = true,
inference(step,[status(thm)],[t251,t76]) ).
cnf(t253,plain,
ifeq(p_3_4,true,p_2_1,true) = true,
inference(step,[status(thm)],[t252,t27]) ).
cnf(t254,plain,
ifeq(true,true,p_2_1,true) = true,
inference(step,[status(thm)],[t253,t75]) ).
cnf(t255,plain,
p_2_1 = true,
inference(step,[status(thm)],[t254,t27]) ).
cnf(t88,plain,
p_2_1 = true,
inference(orient,[status(thm)],[t255]) ).
cnf(t256,plain,
ifeq(true,true,ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,p_1_5,true),true),true),true) = true,
inference(step,[status(thm)],[t80,t88]) ).
cnf(t257,plain,
ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,p_1_5,true),true),true) = true,
inference(step,[status(thm)],[t256,t27]) ).
cnf(f8,negated_conjecture,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
fof(f8_nnf,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_2 ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_2 ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_2 ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(t13,plain,
ifeq(p_3_1,true,ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,ifeq(p_3_5,true,p_2_2,true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(t44,plain,
ifeq(p_3_1,true,ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,ifeq(p_3_5,true,p_2_2,true),true),true),true),true) = true,
inference(orient,[status(thm)],[t13]) ).
cnf(t170,plain,
ifeq(p_3_1,true,ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,ifeq(true,true,p_2_2,true),true),true),true),true) = true,
inference(step,[status(thm)],[t44,t69]) ).
cnf(t171,plain,
ifeq(p_3_1,true,ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,p_2_2,true),true),true),true) = true,
inference(step,[status(thm)],[t170,t27]) ).
cnf(t73,plain,
ifeq(p_3_1,true,ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,p_2_2,true),true),true),true) = true,
inference(rw,[status(thm)],[t171]) ).
cnf(t240,plain,
ifeq(true,true,ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,p_2_2,true),true),true),true) = true,
inference(step,[status(thm)],[t73,t78]) ).
cnf(t241,plain,
ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,p_2_2,true),true),true) = true,
inference(step,[status(thm)],[t240,t27]) ).
cnf(t242,plain,
ifeq(true,true,ifeq(p_3_3,true,ifeq(p_3_4,true,p_2_2,true),true),true) = true,
inference(step,[status(thm)],[t241,t77]) ).
cnf(t243,plain,
ifeq(p_3_3,true,ifeq(p_3_4,true,p_2_2,true),true) = true,
inference(step,[status(thm)],[t242,t27]) ).
cnf(t244,plain,
ifeq(true,true,ifeq(p_3_4,true,p_2_2,true),true) = true,
inference(step,[status(thm)],[t243,t76]) ).
cnf(t245,plain,
ifeq(p_3_4,true,p_2_2,true) = true,
inference(step,[status(thm)],[t244,t27]) ).
cnf(t246,plain,
ifeq(true,true,p_2_2,true) = true,
inference(step,[status(thm)],[t245,t75]) ).
cnf(t247,plain,
p_2_2 = true,
inference(step,[status(thm)],[t246,t27]) ).
cnf(t87,plain,
p_2_2 = true,
inference(orient,[status(thm)],[t247]) ).
cnf(t258,plain,
ifeq(true,true,ifeq(p_2_3,true,ifeq(p_2_4,true,p_1_5,true),true),true) = true,
inference(step,[status(thm)],[t257,t87]) ).
cnf(t259,plain,
ifeq(p_2_3,true,ifeq(p_2_4,true,p_1_5,true),true) = true,
inference(step,[status(thm)],[t258,t27]) ).
cnf(f9,negated_conjecture,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
fof(f9_nnf,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_3 ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_3 ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_3 ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(t14,plain,
ifeq(p_3_1,true,ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,ifeq(p_3_5,true,p_2_3,true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(t45,plain,
ifeq(p_3_1,true,ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,ifeq(p_3_5,true,p_2_3,true),true),true),true),true) = true,
inference(orient,[status(thm)],[t14]) ).
cnf(t168,plain,
ifeq(p_3_1,true,ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,ifeq(true,true,p_2_3,true),true),true),true),true) = true,
inference(step,[status(thm)],[t45,t69]) ).
cnf(t169,plain,
ifeq(p_3_1,true,ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,p_2_3,true),true),true),true) = true,
inference(step,[status(thm)],[t168,t27]) ).
cnf(t72,plain,
ifeq(p_3_1,true,ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,p_2_3,true),true),true),true) = true,
inference(rw,[status(thm)],[t169]) ).
cnf(t232,plain,
ifeq(true,true,ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,p_2_3,true),true),true),true) = true,
inference(step,[status(thm)],[t72,t78]) ).
cnf(t233,plain,
ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,p_2_3,true),true),true) = true,
inference(step,[status(thm)],[t232,t27]) ).
cnf(t234,plain,
ifeq(true,true,ifeq(p_3_3,true,ifeq(p_3_4,true,p_2_3,true),true),true) = true,
inference(step,[status(thm)],[t233,t77]) ).
cnf(t235,plain,
ifeq(p_3_3,true,ifeq(p_3_4,true,p_2_3,true),true) = true,
inference(step,[status(thm)],[t234,t27]) ).
cnf(t236,plain,
ifeq(true,true,ifeq(p_3_4,true,p_2_3,true),true) = true,
inference(step,[status(thm)],[t235,t76]) ).
cnf(t237,plain,
ifeq(p_3_4,true,p_2_3,true) = true,
inference(step,[status(thm)],[t236,t27]) ).
cnf(t238,plain,
ifeq(true,true,p_2_3,true) = true,
inference(step,[status(thm)],[t237,t75]) ).
cnf(t239,plain,
p_2_3 = true,
inference(step,[status(thm)],[t238,t27]) ).
cnf(t86,plain,
p_2_3 = true,
inference(orient,[status(thm)],[t239]) ).
cnf(t260,plain,
ifeq(true,true,ifeq(p_2_4,true,p_1_5,true),true) = true,
inference(step,[status(thm)],[t259,t86]) ).
cnf(t261,plain,
ifeq(p_2_4,true,p_1_5,true) = true,
inference(step,[status(thm)],[t260,t27]) ).
cnf(f10,negated_conjecture,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).
fof(f10_nnf,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_4 ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_4 ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_4 ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(t15,plain,
ifeq(p_3_1,true,ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,ifeq(p_3_5,true,p_2_4,true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(t46,plain,
ifeq(p_3_1,true,ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,ifeq(p_3_5,true,p_2_4,true),true),true),true),true) = true,
inference(orient,[status(thm)],[t15]) ).
cnf(t166,plain,
ifeq(p_3_1,true,ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,ifeq(true,true,p_2_4,true),true),true),true),true) = true,
inference(step,[status(thm)],[t46,t69]) ).
cnf(t167,plain,
ifeq(p_3_1,true,ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,p_2_4,true),true),true),true) = true,
inference(step,[status(thm)],[t166,t27]) ).
cnf(t71,plain,
ifeq(p_3_1,true,ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,p_2_4,true),true),true),true) = true,
inference(rw,[status(thm)],[t167]) ).
cnf(t224,plain,
ifeq(true,true,ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,p_2_4,true),true),true),true) = true,
inference(step,[status(thm)],[t71,t78]) ).
cnf(t225,plain,
ifeq(p_3_2,true,ifeq(p_3_3,true,ifeq(p_3_4,true,p_2_4,true),true),true) = true,
inference(step,[status(thm)],[t224,t27]) ).
cnf(t226,plain,
ifeq(true,true,ifeq(p_3_3,true,ifeq(p_3_4,true,p_2_4,true),true),true) = true,
inference(step,[status(thm)],[t225,t77]) ).
cnf(t227,plain,
ifeq(p_3_3,true,ifeq(p_3_4,true,p_2_4,true),true) = true,
inference(step,[status(thm)],[t226,t27]) ).
cnf(t228,plain,
ifeq(true,true,ifeq(p_3_4,true,p_2_4,true),true) = true,
inference(step,[status(thm)],[t227,t76]) ).
cnf(t229,plain,
ifeq(p_3_4,true,p_2_4,true) = true,
inference(step,[status(thm)],[t228,t27]) ).
cnf(t230,plain,
ifeq(true,true,p_2_4,true) = true,
inference(step,[status(thm)],[t229,t75]) ).
cnf(t231,plain,
p_2_4 = true,
inference(step,[status(thm)],[t230,t27]) ).
cnf(t85,plain,
p_2_4 = true,
inference(orient,[status(thm)],[t231]) ).
cnf(t262,plain,
ifeq(true,true,p_1_5,true) = true,
inference(step,[status(thm)],[t261,t85]) ).
cnf(t263,plain,
p_1_5 = true,
inference(step,[status(thm)],[t262,t27]) ).
cnf(t89,plain,
p_1_5 = true,
inference(orient,[status(thm)],[t263]) ).
cnf(t264,plain,
ifeq(p_1_1,true,ifeq(p_1_2,true,ifeq(p_1_3,true,ifeq(p_1_4,true,ifeq(true,true,p_0,true),true),true),true),true) = true,
inference(step,[status(thm)],[t48,t89]) ).
cnf(t265,plain,
ifeq(p_1_1,true,ifeq(p_1_2,true,ifeq(p_1_3,true,ifeq(p_1_4,true,p_0,true),true),true),true) = true,
inference(step,[status(thm)],[t264,t27]) ).
cnf(t90,plain,
ifeq(p_1_1,true,ifeq(p_1_2,true,ifeq(p_1_3,true,ifeq(p_1_4,true,p_0,true),true),true),true) = true,
inference(rw,[status(thm)],[t265]) ).
cnf(f2,negated_conjecture,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f2_nnf,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_1 ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_1 ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_1 ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(t7,plain,
ifeq(p_2_1,true,ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,ifeq(p_2_5,true,p_1_1,true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(t38,plain,
ifeq(p_2_1,true,ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,ifeq(p_2_5,true,p_1_1,true),true),true),true),true) = true,
inference(orient,[status(thm)],[t7]) ).
cnf(t222,plain,
ifeq(p_2_1,true,ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,ifeq(true,true,p_1_1,true),true),true),true),true) = true,
inference(step,[status(thm)],[t38,t79]) ).
cnf(t223,plain,
ifeq(p_2_1,true,ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,p_1_1,true),true),true),true) = true,
inference(step,[status(thm)],[t222,t27]) ).
cnf(t84,plain,
ifeq(p_2_1,true,ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,p_1_1,true),true),true),true) = true,
inference(rw,[status(thm)],[t223]) ).
cnf(t290,plain,
ifeq(true,true,ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,p_1_1,true),true),true),true) = true,
inference(step,[status(thm)],[t84,t88]) ).
cnf(t291,plain,
ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,p_1_1,true),true),true) = true,
inference(step,[status(thm)],[t290,t27]) ).
cnf(t292,plain,
ifeq(true,true,ifeq(p_2_3,true,ifeq(p_2_4,true,p_1_1,true),true),true) = true,
inference(step,[status(thm)],[t291,t87]) ).
cnf(t293,plain,
ifeq(p_2_3,true,ifeq(p_2_4,true,p_1_1,true),true) = true,
inference(step,[status(thm)],[t292,t27]) ).
cnf(t294,plain,
ifeq(true,true,ifeq(p_2_4,true,p_1_1,true),true) = true,
inference(step,[status(thm)],[t293,t86]) ).
cnf(t295,plain,
ifeq(p_2_4,true,p_1_1,true) = true,
inference(step,[status(thm)],[t294,t27]) ).
cnf(t296,plain,
ifeq(true,true,p_1_1,true) = true,
inference(step,[status(thm)],[t295,t85]) ).
cnf(t297,plain,
p_1_1 = true,
inference(step,[status(thm)],[t296,t27]) ).
cnf(t94,plain,
p_1_1 = true,
inference(orient,[status(thm)],[t297]) ).
cnf(t298,plain,
ifeq(true,true,ifeq(p_1_2,true,ifeq(p_1_3,true,ifeq(p_1_4,true,p_0,true),true),true),true) = true,
inference(step,[status(thm)],[t90,t94]) ).
cnf(t299,plain,
ifeq(p_1_2,true,ifeq(p_1_3,true,ifeq(p_1_4,true,p_0,true),true),true) = true,
inference(step,[status(thm)],[t298,t27]) ).
cnf(f3,negated_conjecture,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f3_nnf,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_2 ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_2 ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_2 ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t8,plain,
ifeq(p_2_1,true,ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,ifeq(p_2_5,true,p_1_2,true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t39,plain,
ifeq(p_2_1,true,ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,ifeq(p_2_5,true,p_1_2,true),true),true),true),true) = true,
inference(orient,[status(thm)],[t8]) ).
cnf(t220,plain,
ifeq(p_2_1,true,ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,ifeq(true,true,p_1_2,true),true),true),true),true) = true,
inference(step,[status(thm)],[t39,t79]) ).
cnf(t221,plain,
ifeq(p_2_1,true,ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,p_1_2,true),true),true),true) = true,
inference(step,[status(thm)],[t220,t27]) ).
cnf(t83,plain,
ifeq(p_2_1,true,ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,p_1_2,true),true),true),true) = true,
inference(rw,[status(thm)],[t221]) ).
cnf(t282,plain,
ifeq(true,true,ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,p_1_2,true),true),true),true) = true,
inference(step,[status(thm)],[t83,t88]) ).
cnf(t283,plain,
ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,p_1_2,true),true),true) = true,
inference(step,[status(thm)],[t282,t27]) ).
cnf(t284,plain,
ifeq(true,true,ifeq(p_2_3,true,ifeq(p_2_4,true,p_1_2,true),true),true) = true,
inference(step,[status(thm)],[t283,t87]) ).
cnf(t285,plain,
ifeq(p_2_3,true,ifeq(p_2_4,true,p_1_2,true),true) = true,
inference(step,[status(thm)],[t284,t27]) ).
cnf(t286,plain,
ifeq(true,true,ifeq(p_2_4,true,p_1_2,true),true) = true,
inference(step,[status(thm)],[t285,t86]) ).
cnf(t287,plain,
ifeq(p_2_4,true,p_1_2,true) = true,
inference(step,[status(thm)],[t286,t27]) ).
cnf(t288,plain,
ifeq(true,true,p_1_2,true) = true,
inference(step,[status(thm)],[t287,t85]) ).
cnf(t289,plain,
p_1_2 = true,
inference(step,[status(thm)],[t288,t27]) ).
cnf(t93,plain,
p_1_2 = true,
inference(orient,[status(thm)],[t289]) ).
cnf(t300,plain,
ifeq(true,true,ifeq(p_1_3,true,ifeq(p_1_4,true,p_0,true),true),true) = true,
inference(step,[status(thm)],[t299,t93]) ).
cnf(t301,plain,
ifeq(p_1_3,true,ifeq(p_1_4,true,p_0,true),true) = true,
inference(step,[status(thm)],[t300,t27]) ).
cnf(f4,negated_conjecture,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f4_nnf,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_3 ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_3 ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_3 ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(t9,plain,
ifeq(p_2_1,true,ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,ifeq(p_2_5,true,p_1_3,true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(t40,plain,
ifeq(p_2_1,true,ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,ifeq(p_2_5,true,p_1_3,true),true),true),true),true) = true,
inference(orient,[status(thm)],[t9]) ).
cnf(t218,plain,
ifeq(p_2_1,true,ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,ifeq(true,true,p_1_3,true),true),true),true),true) = true,
inference(step,[status(thm)],[t40,t79]) ).
cnf(t219,plain,
ifeq(p_2_1,true,ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,p_1_3,true),true),true),true) = true,
inference(step,[status(thm)],[t218,t27]) ).
cnf(t82,plain,
ifeq(p_2_1,true,ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,p_1_3,true),true),true),true) = true,
inference(rw,[status(thm)],[t219]) ).
cnf(t274,plain,
ifeq(true,true,ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,p_1_3,true),true),true),true) = true,
inference(step,[status(thm)],[t82,t88]) ).
cnf(t275,plain,
ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,p_1_3,true),true),true) = true,
inference(step,[status(thm)],[t274,t27]) ).
cnf(t276,plain,
ifeq(true,true,ifeq(p_2_3,true,ifeq(p_2_4,true,p_1_3,true),true),true) = true,
inference(step,[status(thm)],[t275,t87]) ).
cnf(t277,plain,
ifeq(p_2_3,true,ifeq(p_2_4,true,p_1_3,true),true) = true,
inference(step,[status(thm)],[t276,t27]) ).
cnf(t278,plain,
ifeq(true,true,ifeq(p_2_4,true,p_1_3,true),true) = true,
inference(step,[status(thm)],[t277,t86]) ).
cnf(t279,plain,
ifeq(p_2_4,true,p_1_3,true) = true,
inference(step,[status(thm)],[t278,t27]) ).
cnf(t280,plain,
ifeq(true,true,p_1_3,true) = true,
inference(step,[status(thm)],[t279,t85]) ).
cnf(t281,plain,
p_1_3 = true,
inference(step,[status(thm)],[t280,t27]) ).
cnf(t92,plain,
p_1_3 = true,
inference(orient,[status(thm)],[t281]) ).
cnf(t302,plain,
ifeq(true,true,ifeq(p_1_4,true,p_0,true),true) = true,
inference(step,[status(thm)],[t301,t92]) ).
cnf(t303,plain,
ifeq(p_1_4,true,p_0,true) = true,
inference(step,[status(thm)],[t302,t27]) ).
cnf(f5,negated_conjecture,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f5_nnf,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_4 ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_4 ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_4 ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(t10,plain,
ifeq(p_2_1,true,ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,ifeq(p_2_5,true,p_1_4,true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(t41,plain,
ifeq(p_2_1,true,ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,ifeq(p_2_5,true,p_1_4,true),true),true),true),true) = true,
inference(orient,[status(thm)],[t10]) ).
cnf(t216,plain,
ifeq(p_2_1,true,ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,ifeq(true,true,p_1_4,true),true),true),true),true) = true,
inference(step,[status(thm)],[t41,t79]) ).
cnf(t217,plain,
ifeq(p_2_1,true,ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,p_1_4,true),true),true),true) = true,
inference(step,[status(thm)],[t216,t27]) ).
cnf(t81,plain,
ifeq(p_2_1,true,ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,p_1_4,true),true),true),true) = true,
inference(rw,[status(thm)],[t217]) ).
cnf(t266,plain,
ifeq(true,true,ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,p_1_4,true),true),true),true) = true,
inference(step,[status(thm)],[t81,t88]) ).
cnf(t267,plain,
ifeq(p_2_2,true,ifeq(p_2_3,true,ifeq(p_2_4,true,p_1_4,true),true),true) = true,
inference(step,[status(thm)],[t266,t27]) ).
cnf(t268,plain,
ifeq(true,true,ifeq(p_2_3,true,ifeq(p_2_4,true,p_1_4,true),true),true) = true,
inference(step,[status(thm)],[t267,t87]) ).
cnf(t269,plain,
ifeq(p_2_3,true,ifeq(p_2_4,true,p_1_4,true),true) = true,
inference(step,[status(thm)],[t268,t27]) ).
cnf(t270,plain,
ifeq(true,true,ifeq(p_2_4,true,p_1_4,true),true) = true,
inference(step,[status(thm)],[t269,t86]) ).
cnf(t271,plain,
ifeq(p_2_4,true,p_1_4,true) = true,
inference(step,[status(thm)],[t270,t27]) ).
cnf(t272,plain,
ifeq(true,true,p_1_4,true) = true,
inference(step,[status(thm)],[t271,t85]) ).
cnf(t273,plain,
p_1_4 = true,
inference(step,[status(thm)],[t272,t27]) ).
cnf(t91,plain,
p_1_4 = true,
inference(orient,[status(thm)],[t273]) ).
cnf(t304,plain,
ifeq(true,true,p_0,true) = true,
inference(step,[status(thm)],[t303,t91]) ).
cnf(t305,plain,
p_0 = true,
inference(step,[status(thm)],[t304,t27]) ).
cnf(t95,plain,
p_0 = true,
inference(orient,[status(thm)],[t305]) ).
cnf(f0,negated_conjecture,
~ p_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f0_nnf,plain,
~ p_0,
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
~ p_0,
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
~ p_0,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(goal_0,negated_conjecture,
true != p_0,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t95]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN010-1.005.005 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n007.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 23:49:07 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.52/1.34 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.52/1.34 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------