%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRA117+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n026.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 01:23:48 PM UTC 2026
% Result : Unsatisfiable 2.02s 1.28s
% Output : CNFRefutation 2.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 20
% Syntax : Number of formulae : 137 ( 49 unt; 0 def)
% Number of atoms : 534 ( 300 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 581 ( 184 ~; 397 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 63 ( 0 sgn 63 !; 0 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( r(X1,X0)
| ~ r(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rsym) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ~ r(X1,X2)
| ~ r(X0,X2)
| ~ r(X0,X1)
| X1 = X2
| X0 = X2
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rno3cl) ).
fof(f3,axiom,
! [X0,X1,X2] :
( r(X1,X2)
| r(X0,X2)
| r(X0,X1)
| X1 = X2
| X0 = X2
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rno3acl) ).
fof(f4,axiom,
v0 != v1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v0nv1) ).
fof(f5,axiom,
v0 != v2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v0nv2) ).
fof(f6,axiom,
v1 != v2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1nv2) ).
fof(f7,axiom,
v0 != v3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v0nv3) ).
fof(f8,axiom,
v1 != v3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1nv3) ).
fof(f9,axiom,
v2 != v3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v2nv3) ).
fof(f10,axiom,
v0 != v4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v0nv4) ).
fof(f11,axiom,
v1 != v4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1nv4) ).
fof(f12,axiom,
v2 != v4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v2nv4) ).
fof(f13,axiom,
v3 != v4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v3nv4) ).
fof(f14,axiom,
v0 != v5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v0nv5) ).
fof(f15,axiom,
v1 != v5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1nv5) ).
fof(f16,axiom,
v2 != v5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v2nv5) ).
fof(f17,axiom,
v3 != v5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v3nv5) ).
fof(f18,axiom,
v4 != v5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v4nv5) ).
fof(f19,plain,
! [X0,X1] :
( r(X1,X0)
| ~ r(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f20,plain,
! [X2,X0,X1] :
( ~ r(X1,X2)
| ~ r(X0,X2)
| ~ r(X0,X1)
| X1 = X2
| X0 = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f21,plain,
! [X2,X0,X1] :
( r(X1,X2)
| r(X0,X2)
| r(X0,X1)
| X1 = X2
| X0 = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f22,plain,
v0 != v1,
inference(cnf_transformation,[],[f4]) ).
fof(f23,plain,
v0 != v2,
inference(cnf_transformation,[],[f5]) ).
fof(f24,plain,
v1 != v2,
inference(cnf_transformation,[],[f6]) ).
fof(f25,plain,
v0 != v3,
inference(cnf_transformation,[],[f7]) ).
fof(f26,plain,
v1 != v3,
inference(cnf_transformation,[],[f8]) ).
fof(f27,plain,
v2 != v3,
inference(cnf_transformation,[],[f9]) ).
fof(f28,plain,
v0 != v4,
inference(cnf_transformation,[],[f10]) ).
fof(f29,plain,
v1 != v4,
inference(cnf_transformation,[],[f11]) ).
fof(f30,plain,
v2 != v4,
inference(cnf_transformation,[],[f12]) ).
fof(f31,plain,
v3 != v4,
inference(cnf_transformation,[],[f13]) ).
fof(f32,plain,
v0 != v5,
inference(cnf_transformation,[],[f14]) ).
fof(f33,plain,
v1 != v5,
inference(cnf_transformation,[],[f15]) ).
fof(f34,plain,
v2 != v5,
inference(cnf_transformation,[],[f16]) ).
fof(f35,plain,
v3 != v5,
inference(cnf_transformation,[],[f17]) ).
fof(f36,plain,
v4 != v5,
inference(cnf_transformation,[],[f18]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( r(X1,X0)
| ~ r(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = X2 )
| ( X0 = X1 )
| ~ r(X1,X2)
| ~ r(X0,X2)
| ~ r(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i] :
( r(X1,X2)
| r(X0,X2)
| r(X0,X1)
| ( X1 = X2 )
| ( X0 = X2 )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_52,plain,
v0 != v1,
inference(cnf_transformation,[],[f22]) ).
tcf(c_53,plain,
v0 != v2,
inference(cnf_transformation,[],[f23]) ).
tcf(c_54,plain,
v1 != v2,
inference(cnf_transformation,[],[f24]) ).
tcf(c_55,plain,
v0 != v3,
inference(cnf_transformation,[],[f25]) ).
tcf(c_56,plain,
v1 != v3,
inference(cnf_transformation,[],[f26]) ).
tcf(c_57,plain,
v2 != v3,
inference(cnf_transformation,[],[f27]) ).
tcf(c_58,plain,
v0 != v4,
inference(cnf_transformation,[],[f28]) ).
tcf(c_59,plain,
v1 != v4,
inference(cnf_transformation,[],[f29]) ).
tcf(c_60,plain,
v2 != v4,
inference(cnf_transformation,[],[f30]) ).
tcf(c_61,plain,
v3 != v4,
inference(cnf_transformation,[],[f31]) ).
tcf(c_62,plain,
v0 != v5,
inference(cnf_transformation,[],[f32]) ).
tcf(c_63,plain,
v1 != v5,
inference(cnf_transformation,[],[f33]) ).
tcf(c_64,plain,
v2 != v5,
inference(cnf_transformation,[],[f34]) ).
tcf(c_65,plain,
v3 != v5,
inference(cnf_transformation,[],[f35]) ).
tcf(c_66,plain,
v4 != v5,
inference(cnf_transformation,[],[f36]) ).
tcf(c_98,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_101,plain,
v0 = v0,
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_103,plain,
! [X0: $i] :
( ( v0 = v1 )
| ( v1 != X0 )
| ( v0 != X0 ) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_104,plain,
( ( v0 = v1 )
| ( v1 != v0 )
| ( v0 != v0 ) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_105,plain,
! [X0: $i] :
( ( v0 = v2 )
| ( v2 != X0 )
| ( v0 != X0 ) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_106,plain,
( ( v0 = v2 )
| ( v2 != v0 )
| ( v0 != v0 ) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_109,plain,
! [X0: $i] :
( ( v0 = v3 )
| ( v3 != X0 )
| ( v0 != X0 ) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_110,plain,
( ( v0 = v3 )
| ( v3 != v0 )
| ( v0 != v0 ) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_135,plain,
! [X0: $i] :
( ( v1 = v2 )
| ( X0 = v2 )
| ( X0 = v1 )
| ~ r(v1,v2)
| ~ r(X0,v2)
| ~ r(X0,v1) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_136,plain,
( ( v1 = v2 )
| ( v0 = v2 )
| ( v0 = v1 )
| ~ r(v1,v2)
| ~ r(v0,v2)
| ~ r(v0,v1) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_138,plain,
! [X0: $i] :
( ( v1 = v3 )
| ( X0 = v3 )
| ( X0 = v1 )
| ~ r(v1,v3)
| ~ r(X0,v3)
| ~ r(X0,v1) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_139,plain,
( ( v1 = v3 )
| ( v0 = v3 )
| ( v0 = v1 )
| ~ r(v1,v3)
| ~ r(v0,v3)
| ~ r(v0,v1) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_140,plain,
! [X0: $i] :
( ( v2 = v3 )
| ( X0 = v3 )
| ( X0 = v2 )
| ~ r(v2,v3)
| ~ r(X0,v3)
| ~ r(X0,v2) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_141,plain,
( ( v2 = v3 )
| ( v0 = v3 )
| ( v0 = v2 )
| ~ r(v2,v3)
| ~ r(v0,v3)
| ~ r(v0,v2) ),
inference(instantiation,[status(thm)],[c_140]) ).
tcf(c_143,plain,
! [X0: $i] :
( ( v1 = v4 )
| ( X0 = v4 )
| ( X0 = v1 )
| ~ r(v1,v4)
| ~ r(X0,v4)
| ~ r(X0,v1) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_144,plain,
( ( v1 = v4 )
| ( v0 = v4 )
| ( v0 = v1 )
| ~ r(v1,v4)
| ~ r(v0,v4)
| ~ r(v0,v1) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_145,plain,
! [X0: $i] :
( ( v2 = v4 )
| ( X0 = v4 )
| ( X0 = v2 )
| ~ r(v2,v4)
| ~ r(X0,v4)
| ~ r(X0,v2) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_146,plain,
( ( v2 = v4 )
| ( v0 = v4 )
| ( v0 = v2 )
| ~ r(v2,v4)
| ~ r(v0,v4)
| ~ r(v0,v2) ),
inference(instantiation,[status(thm)],[c_145]) ).
tcf(c_150,plain,
! [X0: $i] :
( ( v1 = v5 )
| ( X0 = v5 )
| ( X0 = v1 )
| ~ r(v1,v5)
| ~ r(X0,v5)
| ~ r(X0,v1) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_151,plain,
( ( v1 = v5 )
| ( v0 = v5 )
| ( v0 = v1 )
| ~ r(v1,v5)
| ~ r(v0,v5)
| ~ r(v0,v1) ),
inference(instantiation,[status(thm)],[c_150]) ).
tcf(c_152,plain,
! [X0: $i] :
( ( v2 = v5 )
| ( X0 = v5 )
| ( X0 = v2 )
| ~ r(v2,v5)
| ~ r(X0,v5)
| ~ r(X0,v2) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_153,plain,
( ( v2 = v5 )
| ( v0 = v5 )
| ( v0 = v2 )
| ~ r(v2,v5)
| ~ r(v0,v5)
| ~ r(v0,v2) ),
inference(instantiation,[status(thm)],[c_152]) ).
tcf(c_154,plain,
! [X0: $i] :
( ( v3 = v5 )
| ( X0 = v5 )
| ( X0 = v3 )
| ~ r(v3,v5)
| ~ r(X0,v5)
| ~ r(X0,v3) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_155,plain,
( ( v3 = v5 )
| ( v0 = v5 )
| ( v0 = v3 )
| ~ r(v3,v5)
| ~ r(v0,v5)
| ~ r(v0,v3) ),
inference(instantiation,[status(thm)],[c_154]) ).
tcf(c_156,plain,
! [X0: $i] :
( ( v4 = v5 )
| ( X0 = v5 )
| ( X0 = v4 )
| ~ r(v4,v5)
| ~ r(X0,v5)
| ~ r(X0,v4) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_157,plain,
( ( v4 = v5 )
| ( v0 = v5 )
| ( v0 = v4 )
| ~ r(v4,v5)
| ~ r(v0,v5)
| ~ r(v0,v4) ),
inference(instantiation,[status(thm)],[c_156]) ).
tcf(c_161,plain,
! [X0: $i,X1: $i] :
( ( v2 = X1 )
| ( X0 = v2 )
| ( X0 = X1 )
| ~ r(v2,X1)
| ~ r(X0,v2)
| ~ r(X0,X1) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_208,plain,
! [X0: $i] :
( r(v1,v2)
| r(X0,v2)
| r(X0,v1)
| ( v1 = v2 )
| ( X0 = v2 )
| ( X0 = v1 ) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_209,plain,
( r(v1,v2)
| r(v0,v2)
| r(v0,v1)
| ( v1 = v2 )
| ( v0 = v2 )
| ( v0 = v1 ) ),
inference(instantiation,[status(thm)],[c_208]) ).
tcf(c_216,plain,
! [X0: $i] :
( r(v2,v3)
| r(X0,v3)
| r(X0,v2)
| ( v2 = v3 )
| ( X0 = v3 )
| ( X0 = v2 ) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_221,plain,
! [X0: $i] :
( r(v1,v4)
| r(X0,v4)
| r(X0,v1)
| ( v1 = v4 )
| ( X0 = v4 )
| ( X0 = v1 ) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_222,plain,
( r(v1,v4)
| r(v0,v4)
| r(v0,v1)
| ( v1 = v4 )
| ( v0 = v4 )
| ( v0 = v1 ) ),
inference(instantiation,[status(thm)],[c_221]) ).
tcf(c_224,plain,
! [X0: $i] :
( r(v2,v4)
| r(X0,v4)
| r(X0,v2)
| ( v2 = v4 )
| ( X0 = v4 )
| ( X0 = v2 ) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_225,plain,
( r(v2,v4)
| r(v0,v4)
| r(v0,v2)
| ( v2 = v4 )
| ( v0 = v4 )
| ( v0 = v2 ) ),
inference(instantiation,[status(thm)],[c_224]) ).
tcf(c_227,plain,
! [X0: $i] :
( r(v3,v4)
| r(X0,v4)
| r(X0,v3)
| ( v3 = v4 )
| ( X0 = v4 )
| ( X0 = v3 ) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_228,plain,
( r(v3,v4)
| r(v0,v4)
| r(v0,v3)
| ( v3 = v4 )
| ( v0 = v4 )
| ( v0 = v3 ) ),
inference(instantiation,[status(thm)],[c_227]) ).
tcf(c_230,plain,
! [X0: $i] :
( r(v0,v5)
| r(X0,v5)
| r(X0,v0)
| ( v0 = v5 )
| ( X0 = v5 )
| ( X0 = v0 ) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_235,plain,
! [X0: $i] :
( r(v2,v5)
| r(X0,v5)
| r(X0,v2)
| ( v2 = v5 )
| ( X0 = v5 )
| ( X0 = v2 ) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_238,plain,
! [X0: $i] :
( r(v3,v5)
| r(X0,v5)
| r(X0,v3)
| ( v3 = v5 )
| ( X0 = v5 )
| ( X0 = v3 ) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_241,plain,
! [X0: $i] :
( r(v4,v5)
| r(X0,v5)
| r(X0,v4)
| ( v4 = v5 )
| ( X0 = v5 )
| ( X0 = v4 ) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_242,plain,
( r(v4,v5)
| r(v0,v5)
| r(v0,v4)
| ( v4 = v5 )
| ( v0 = v5 )
| ( v0 = v4 ) ),
inference(instantiation,[status(thm)],[c_241]) ).
tcf(c_258,plain,
( r(v4,v3)
| ~ r(v3,v4) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_285,plain,
v3 = v3,
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_438,plain,
( r(v2,v3)
| r(v1,v3)
| r(v1,v2)
| ( v2 = v3 )
| ( v1 = v3 )
| ( v1 = v2 ) ),
inference(instantiation,[status(thm)],[c_216]) ).
tcf(c_463,plain,
( r(v2,v4)
| r(v1,v4)
| r(v1,v2)
| ( v2 = v4 )
| ( v1 = v4 )
| ( v1 = v2 ) ),
inference(instantiation,[status(thm)],[c_224]) ).
tcf(c_475,plain,
( r(v3,v4)
| r(v1,v4)
| r(v1,v3)
| ( v3 = v4 )
| ( v1 = v4 )
| ( v1 = v3 ) ),
inference(instantiation,[status(thm)],[c_227]) ).
tcf(c_476,plain,
( r(v3,v4)
| r(v2,v4)
| r(v2,v3)
| ( v3 = v4 )
| ( v2 = v4 )
| ( v2 = v3 ) ),
inference(instantiation,[status(thm)],[c_227]) ).
tcf(c_486,plain,
( r(v1,v5)
| r(v1,v0)
| r(v0,v5)
| ( v1 = v5 )
| ( v1 = v0 )
| ( v0 = v5 ) ),
inference(instantiation,[status(thm)],[c_230]) ).
tcf(c_488,plain,
( r(v2,v5)
| r(v2,v0)
| r(v0,v5)
| ( v2 = v5 )
| ( v2 = v0 )
| ( v0 = v5 ) ),
inference(instantiation,[status(thm)],[c_230]) ).
tcf(c_490,plain,
( r(v3,v5)
| r(v3,v0)
| r(v0,v5)
| ( v3 = v5 )
| ( v3 = v0 )
| ( v0 = v5 ) ),
inference(instantiation,[status(thm)],[c_230]) ).
tcf(c_508,plain,
( r(v2,v5)
| r(v1,v5)
| r(v1,v2)
| ( v2 = v5 )
| ( v1 = v5 )
| ( v1 = v2 ) ),
inference(instantiation,[status(thm)],[c_235]) ).
tcf(c_519,plain,
( r(v3,v5)
| r(v1,v5)
| r(v1,v3)
| ( v3 = v5 )
| ( v1 = v5 )
| ( v1 = v3 ) ),
inference(instantiation,[status(thm)],[c_238]) ).
tcf(c_520,plain,
( r(v3,v5)
| r(v2,v5)
| r(v2,v3)
| ( v3 = v5 )
| ( v2 = v5 )
| ( v2 = v3 ) ),
inference(instantiation,[status(thm)],[c_238]) ).
tcf(c_530,plain,
( r(v4,v5)
| r(v1,v5)
| r(v1,v4)
| ( v4 = v5 )
| ( v1 = v5 )
| ( v1 = v4 ) ),
inference(instantiation,[status(thm)],[c_241]) ).
tcf(c_531,plain,
( r(v4,v5)
| r(v2,v5)
| r(v2,v4)
| ( v4 = v5 )
| ( v2 = v5 )
| ( v2 = v4 ) ),
inference(instantiation,[status(thm)],[c_241]) ).
tcf(c_546,plain,
( ( v2 = v3 )
| ( v1 = v3 )
| ( v1 = v2 )
| ~ r(v2,v3)
| ~ r(v1,v3)
| ~ r(v1,v2) ),
inference(instantiation,[status(thm)],[c_161]) ).
tcf(c_549,plain,
( ( v2 = v4 )
| ( v1 = v4 )
| ( v1 = v2 )
| ~ r(v2,v4)
| ~ r(v1,v4)
| ~ r(v1,v2) ),
inference(instantiation,[status(thm)],[c_161]) ).
tcf(c_553,plain,
( ( v2 = v5 )
| ( v1 = v5 )
| ( v1 = v2 )
| ~ r(v2,v5)
| ~ r(v1,v5)
| ~ r(v1,v2) ),
inference(instantiation,[status(thm)],[c_161]) ).
tcf(c_580,plain,
! [X0: $i] :
( ( v3 = v4 )
| ( v4 != X0 )
| ( v3 != X0 ) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_592,plain,
! [X0: $i] :
( ( v0 = v4 )
| ( X0 = v4 )
| ( X0 = v0 )
| ~ r(v0,v4)
| ~ r(X0,v4)
| ~ r(X0,v0) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_595,plain,
! [X0: $i] :
( ( v3 = v4 )
| ( X0 = v4 )
| ( X0 = v3 )
| ~ r(v3,v4)
| ~ r(X0,v4)
| ~ r(X0,v3) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_599,plain,
! [X0: $i] :
( ( v3 = v5 )
| ( X0 = v5 )
| ( X0 = v3 )
| ~ r(v3,v5)
| ~ r(X0,v5)
| ~ r(X0,v3) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_619,plain,
! [X0: $i,X1: $i] :
( ( v4 = X1 )
| ( X0 = v4 )
| ( X0 = X1 )
| ~ r(v4,X1)
| ~ r(X0,v4)
| ~ r(X0,X1) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_705,plain,
! [X0: $i,X1: $i] :
( r(X1,v5)
| r(X0,v5)
| r(X0,X1)
| ( X1 = v5 )
| ( X0 = v5 )
| ( X0 = X1 ) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_717,plain,
! [X0: $i] :
( r(v3,v0)
| r(X0,v3)
| r(X0,v0)
| ( v3 = v0 )
| ( X0 = v3 )
| ( X0 = v0 ) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_719,plain,
! [X0: $i,X1: $i] :
( r(v3,X1)
| r(X0,v3)
| r(X0,X1)
| ( v3 = X1 )
| ( X0 = v3 )
| ( X0 = X1 ) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_733,plain,
( ( v1 = v4 )
| ( v1 = v0 )
| ( v0 = v4 )
| ~ r(v1,v4)
| ~ r(v1,v0)
| ~ r(v0,v4) ),
inference(instantiation,[status(thm)],[c_592]) ).
tcf(c_740,plain,
( ( v2 = v4 )
| ( v2 = v0 )
| ( v0 = v4 )
| ~ r(v2,v4)
| ~ r(v2,v0)
| ~ r(v0,v4) ),
inference(instantiation,[status(thm)],[c_592]) ).
tcf(c_747,plain,
( ( v3 = v4 )
| ( v3 = v0 )
| ( v0 = v4 )
| ~ r(v3,v4)
| ~ r(v3,v0)
| ~ r(v0,v4) ),
inference(instantiation,[status(thm)],[c_592]) ).
tcf(c_862,plain,
( ( v4 = v3 )
| ( v2 = v4 )
| ( v2 = v3 )
| ~ r(v4,v3)
| ~ r(v2,v4)
| ~ r(v2,v3) ),
inference(instantiation,[status(thm)],[c_619]) ).
tcf(c_868,plain,
( ( v4 = v5 )
| ( v1 = v5 )
| ( v1 = v4 )
| ~ r(v4,v5)
| ~ r(v1,v5)
| ~ r(v1,v4) ),
inference(instantiation,[status(thm)],[c_619]) ).
tcf(c_869,plain,
( ( v4 = v5 )
| ( v2 = v5 )
| ( v2 = v4 )
| ~ r(v4,v5)
| ~ r(v2,v5)
| ~ r(v2,v4) ),
inference(instantiation,[status(thm)],[c_619]) ).
tcf(c_870,plain,
( ( v4 = v5 )
| ( v3 = v5 )
| ( v3 = v4 )
| ~ r(v4,v5)
| ~ r(v3,v5)
| ~ r(v3,v4) ),
inference(instantiation,[status(thm)],[c_619]) ).
tcf(c_1039,plain,
( r(v4,v5)
| r(v3,v5)
| r(v3,v4)
| ( v4 = v5 )
| ( v3 = v5 )
| ( v3 = v4 ) ),
inference(instantiation,[status(thm)],[c_705]) ).
tcf(c_1257,plain,
( r(v3,v0)
| r(v1,v3)
| r(v1,v0)
| ( v3 = v0 )
| ( v1 = v3 )
| ( v1 = v0 ) ),
inference(instantiation,[status(thm)],[c_717]) ).
tcf(c_1283,plain,
! [X0: $i] :
( r(v2,v3)
| r(v3,X0)
| r(v2,X0)
| ( v3 = X0 )
| ( v2 = v3 )
| ( v2 = X0 ) ),
inference(instantiation,[status(thm)],[c_719]) ).
tcf(c_1284,plain,
( r(v3,v0)
| r(v2,v3)
| r(v2,v0)
| ( v3 = v0 )
| ( v2 = v3 )
| ( v2 = v0 ) ),
inference(instantiation,[status(thm)],[c_1283]) ).
tcf(c_1455,plain,
( ( v3 = v4 )
| ( v4 != v3 )
| ( v3 != v3 ) ),
inference(instantiation,[status(thm)],[c_580]) ).
tcf(c_1558,plain,
( ( v3 = v5 )
| ( v2 = v5 )
| ( v2 = v3 )
| ~ r(v3,v5)
| ~ r(v2,v5)
| ~ r(v2,v3) ),
inference(instantiation,[status(thm)],[c_599]) ).
tcf(c_1595,plain,
( ( v3 = v4 )
| ( v1 = v4 )
| ( v1 = v3 )
| ~ r(v3,v4)
| ~ r(v1,v4)
| ~ r(v1,v3) ),
inference(instantiation,[status(thm)],[c_595]) ).
tcf(c_1718,plain,
( ( v3 = v5 )
| ( v1 = v5 )
| ( v1 = v3 )
| ~ r(v3,v5)
| ~ r(v1,v5)
| ~ r(v1,v3) ),
inference(instantiation,[status(thm)],[c_599]) ).
tcf(c_1960,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1718,c_1595,c_1558,c_1455,c_1284,c_1257,c_1039,c_870,c_869,c_868,c_862,c_747,c_740,c_733,c_553,c_549,c_546,c_531,c_530,c_520,c_519,c_508,c_490,c_488,c_486,c_476,c_475,c_463,c_438,c_285,c_258,c_242,c_228,c_225,c_222,c_209,c_157,c_155,c_153,c_151,c_146,c_144,c_141,c_139,c_136,c_110,c_106,c_104,c_101,c_52,c_53,c_54,c_55,c_56,c_57,c_58,c_59,c_60,c_61,c_62,c_63,c_64,c_65,c_66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA117+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n026.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 : Wed Sep 23 12:55:08 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.42
% 0.14/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.42
% 0.14/0.42 % Detected problem language: tptp
% 0.14/0.44 % Proving...
% 2.02/1.28 % SZS status Started for theBenchmark.p
% 2.02/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.02/1.28
% 2.02/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.02/1.28
% 2.02/1.28 % ------ iProver source info
% 2.02/1.28
% 2.02/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 2.02/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.02/1.28 % git: non_committed_changes: false
% 2.02/1.28
% 2.02/1.28 % ------ Parsing...
% 2.02/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_eq
% 2.02/1.28 %
% 2.02/1.28
% 2.02/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 2.02/1.28
% 2.02/1.28 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_eq
% 2.02/1.28 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e % ------ preprocesses with Option_epr_non_horn_eq
% 2.02/1.28 %
% 2.02/1.28
% 2.02/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.02/1.28 % ------ Proving...
% 2.02/1.28 % ------ Problem Properties
% 2.02/1.28
% 2.02/1.28 %
% 2.02/1.28 % clauses 18
% 2.02/1.28 % conjectures 0
% 2.02/1.28 % EPR 18
% 2.02/1.28 % Horn 16
% 2.02/1.28 % unary 15
% 2.02/1.28 % binary 1
% 2.02/1.28 % lits 29
% 2.02/1.28 % lits eq 21
% 2.02/1.28 % fd_pure 0
% 2.02/1.28 % fd_pseudo 0
% 2.02/1.28 % fd_cond 0
% 2.02/1.28 % fd_pseudo_cond 2
% 2.02/1.28 % AC symbols 0
% 2.02/1.28
% 2.02/1.28 % ------ Schedule EPR non Horn eq is on
% 2.02/1.28
% 2.02/1.28 % ------ no conjectures: strip conj schedule
% 2.02/1.28
% 2.02/1.28 % ------ Option_epr_non_horn_eq stripped conjectures Time Limit: Unbounded
% 2.02/1.28
% 2.02/1.28
% 2.02/1.28 % ------
% 2.02/1.28 % Current options:
% 2.02/1.28 % ------
% 2.02/1.28
% 2.02/1.28
% 2.02/1.28 %
% 2.02/1.28
% 2.02/1.28 % ------ Proving...
% 2.02/1.28 %
% 2.02/1.28
% 2.02/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.02/1.28
% 2.02/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.02/1.29
% 2.02/1.29
%------------------------------------------------------------------------------