%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO491+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n010.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 01:21:09 PM UTC 2026
% Result : Theorem 136.16s 21.52s
% Output : CNFRefutation 136.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 15
% Syntax : Number of formulae : 97 ( 38 unt; 0 def)
% Number of atoms : 246 ( 65 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 277 ( 128 ~; 141 |; 8 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-6 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 288 ( 0 sgn 282 !; 6 ?; 146 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : s_e(X0,X1,X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO011+0.ax',aA1) ).
fof(f2,axiom,
! [X0,X1,X2,X3,X4,X5] :
( s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X4,X5)
| ~ s_e(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO011+0.ax',aA2) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( s_e(X1,ext(X0,X1,X2,X3),X2,X3)
& s_t(X0,X1,ext(X0,X1,X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO011+0.ax',aA4) ).
fof(f5,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( s_e(X4,X6,X5,X7)
| X0 = X1
| ~ s_t(X2,X3,X5)
| ~ s_t(X0,X1,X4)
| ~ s_e(X1,X6,X3,X7)
| ~ s_e(X0,X6,X2,X7)
| ~ s_e(X1,X4,X3,X5)
| ~ s_e(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO011+0.ax',aA5) ).
fof(f10,axiom,
! [X0,X1,X2,X3] :
( s_e(X2,X3,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_2) ).
fof(f11,axiom,
! [X0,X1,X2,X3,X4,X5] :
( s_e(X0,X1,X4,X5)
| ~ s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_3) ).
fof(f12,axiom,
! [X0,X1,X2,X3] :
( s_e(X1,X0,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_4) ).
fof(f13,axiom,
! [X0,X1,X2,X3] :
( s_e(X0,X1,X3,X2)
| ~ s_e(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_5) ).
fof(f16,axiom,
! [X0,X1,X2,X3,X4] :
( X2 = ext(X0,X1,X3,X4)
| ~ s_e(X1,X2,X3,X4)
| ~ s_t(X0,X1,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_12) ).
fof(f17,axiom,
! [X0,X1,X2] :
( X0 = X1
| ~ s_e(X0,X1,X2,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_13) ).
fof(f22,axiom,
! [X0,X1] : s_t(X0,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_3) ).
fof(f39,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( s_t(X3,X4,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5)
| ~ s_t(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_6) ).
fof(f40,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( s_t(X3,X4,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5)
| ~ s_t(X0,X1,X2) ),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( s_e3(X0,X1,X2,X3,X4,X5)
| ~ s_e(X1,X2,X4,X5)
| ~ s_e(X0,X2,X3,X5)
| ~ s_e(X0,X1,X3,X4) )
& ( s_e(X1,X2,X4,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5) )
& ( s_e(X0,X2,X3,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5) )
& ( s_e(X0,X1,X3,X4)
| ~ s_e3(X0,X1,X2,X3,X4,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn4_4) ).
fof(f47,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ s_t(X3,X4,X5)
& s_e3(X0,X1,X2,X3,X4,X5)
& s_t(X0,X1,X2) ),
inference(ennf_transformation,[],[f40]) ).
fof(f48,plain,
( ~ s_t(sK3,sK4,sK5)
& s_e3(sK0,sK1,sK2,sK3,sK4,sK5)
& s_t(sK0,sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f47]) ).
fof(f49,plain,
! [X0,X1] : s_e(X0,X1,X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f50,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X4,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f52,plain,
! [X2,X3,X0,X1] : s_e(X1,ext(X0,X1,X2,X3),X2,X3),
inference(cnf_transformation,[],[f4]) ).
fof(f53,plain,
! [X2,X3,X0,X1] : s_t(X0,X1,ext(X0,X1,X2,X3)),
inference(cnf_transformation,[],[f4]) ).
fof(f54,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( s_e(X4,X6,X5,X7)
| X0 = X1
| ~ s_t(X2,X3,X5)
| ~ s_t(X0,X1,X4)
| ~ s_e(X1,X6,X3,X7)
| ~ s_e(X0,X6,X2,X7)
| ~ s_e(X1,X4,X3,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f62,plain,
! [X2,X3,X0,X1] :
( s_e(X2,X3,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f10]) ).
fof(f63,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X1,X4,X5)
| ~ s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f11]) ).
fof(f64,plain,
! [X2,X3,X0,X1] :
( s_e(X1,X0,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f12]) ).
fof(f65,plain,
! [X2,X3,X0,X1] :
( s_e(X0,X1,X3,X2)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f13]) ).
fof(f68,plain,
! [X2,X3,X0,X1,X4] :
( ext(X0,X1,X3,X4) = X2
| ~ s_e(X1,X2,X3,X4)
| ~ s_t(X0,X1,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f16]) ).
fof(f69,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ s_e(X0,X1,X2,X2) ),
inference(cnf_transformation,[],[f17]) ).
fof(f74,plain,
! [X0,X1] : s_t(X0,X0,X1),
inference(cnf_transformation,[],[f22]) ).
fof(f93,plain,
~ s_t(sK3,sK4,sK5),
inference(cnf_transformation,[],[f48]) ).
fof(f94,plain,
s_e3(sK0,sK1,sK2,sK3,sK4,sK5),
inference(cnf_transformation,[],[f48]) ).
fof(f95,plain,
s_t(sK0,sK1,sK2),
inference(cnf_transformation,[],[f48]) ).
fof(f112,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e(X1,X2,X4,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f44]) ).
fof(f113,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X2,X3,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f44]) ).
fof(f114,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X1,X3,X4)
| ~ s_e3(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] : s_e(X0,X1,X1,X0),
inference(cnf_transformation,[],[f49]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X4,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,X1,ext(X0,X1,X2,X3)),
inference(cnf_transformation,[],[f53]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_e(X0,ext(X1,X0,X2,X3),X2,X3),
inference(cnf_transformation,[],[f52]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X4,X7,X5)
| ( X0 = X1 )
| ~ s_t(X2,X3,X7)
| ~ s_t(X0,X1,X6)
| ~ s_e(X1,X6,X3,X7)
| ~ s_e(X1,X4,X3,X5)
| ~ s_e(X0,X4,X2,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X3,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,X1,X4,X5)
| ~ s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X0,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X1,X3,X2)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X4 )
| ( ext(X4,X0,X2,X3) = X1 )
| ~ s_t(X4,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ s_e(X0,X1,X2,X2) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] : s_t(X0,X0,X1),
inference(cnf_transformation,[],[f74]) ).
tcf(c_93,negated_conjecture,
s_t(sK0,sK1,sK2),
inference(cnf_transformation,[],[f95]) ).
tcf(c_94,negated_conjecture,
s_e3(sK0,sK1,sK2,sK3,sK4,sK5),
inference(cnf_transformation,[],[f94]) ).
tcf(c_95,negated_conjecture,
~ s_t(sK3,sK4,sK5),
inference(cnf_transformation,[],[f93]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,X1,X3,X4)
| ~ s_e3(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,X2,X3,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X1,X2,X4,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X1,X2,X4,X5)
| ( X5 != sK5 )
| ( X4 != sK4 )
| ( X3 != sK3 )
| ( X2 != sK2 )
| ( X1 != sK1 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_94,c_112]) ).
tcf(c_874,plain,
s_e(sK1,sK2,sK4,sK5),
inference(unflattening,[status(thm)],[c_873]) ).
tcf(c_878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,X2,X3,X5)
| ( X5 != sK5 )
| ( X4 != sK4 )
| ( X3 != sK3 )
| ( X2 != sK2 )
| ( X1 != sK1 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_94,c_111]) ).
tcf(c_879,plain,
s_e(sK0,sK2,sK3,sK5),
inference(unflattening,[status(thm)],[c_878]) ).
tcf(c_883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,X1,X3,X4)
| ( X5 != sK5 )
| ( X4 != sK4 )
| ( X3 != sK3 )
| ( X2 != sK2 )
| ( X1 != sK1 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_94,c_110]) ).
tcf(c_884,plain,
s_e(sK0,sK1,sK3,sK4),
inference(unflattening,[status(thm)],[c_883]) ).
tcf(c_1399,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_1404,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X2,X4)
| ~ s_t(X1,X3,X5)
| ( X4 != X5 )
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_1996,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK3,sK4,sK5)
| ~ s_t(X0,X1,X2)
| ( sK5 != X2 )
| ( sK4 != X1 )
| ( sK3 != X0 ) ),
inference(instantiation,[status(thm)],[c_1404]) ).
tcf(c_2026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_e(X0,X1,X2,ext(X3,X2,X0,X1)),
inference(superposition,[status(thm)],[c_53,c_62]) ).
tcf(c_2206,plain,
s_t(sK4,sK4,sK5),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_2301,plain,
! [X0: $i,X1: $i] :
( s_t(sK3,sK4,sK5)
| ~ s_t(X0,X1,sK5)
| ( sK5 != sK5 )
| ( sK4 != X1 )
| ( sK3 != X0 ) ),
inference(instantiation,[status(thm)],[c_1996]) ).
tcf(c_2302,plain,
sK5 = sK5,
inference(instantiation,[status(thm)],[c_1399]) ).
tcf(c_2337,plain,
s_e(sK4,sK5,sK1,sK2),
inference(superposition,[status(thm)],[c_874,c_62]) ).
tcf(c_2357,plain,
s_e(sK1,sK2,sK5,sK4),
inference(superposition,[status(thm)],[c_874,c_65]) ).
tcf(c_2360,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_e(X0,X1,ext(X2,X3,X0,X1),X3),
inference(superposition,[status(thm)],[c_2026,c_65]) ).
tcf(c_2589,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,sK2,X0,X1)
| ~ s_e(sK4,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_2337,c_50]) ).
tcf(c_2761,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,sK2,X0,X1)
| ~ s_e(sK5,sK4,X0,X1) ),
inference(superposition,[status(thm)],[c_2357,c_63]) ).
tcf(c_4637,plain,
! [X0: $i] :
( s_t(sK3,sK4,sK5)
| ~ s_t(X0,sK4,sK5)
| ( sK5 != sK5 )
| ( sK4 != sK4 )
| ( sK3 != X0 ) ),
inference(instantiation,[status(thm)],[c_2301]) ).
tcf(c_4638,plain,
sK4 = sK4,
inference(instantiation,[status(thm)],[c_1399]) ).
tcf(c_12623,plain,
( s_t(sK3,sK4,sK5)
| ~ s_t(sK4,sK4,sK5)
| ( sK5 != sK5 )
| ( sK4 != sK4 )
| ( sK3 != sK4 ) ),
inference(instantiation,[status(thm)],[c_4637]) ).
tcf(c_96122,plain,
s_e(sK1,sK2,sK5,sK4),
inference(superposition,[status(thm)],[c_49,c_2589]) ).
tcf(c_96155,plain,
s_e(sK3,sK4,sK0,sK1),
inference(superposition,[status(thm)],[c_884,c_62]) ).
tcf(c_96209,plain,
s_e(sK4,sK3,sK0,sK1),
inference(superposition,[status(thm)],[c_96155,c_64]) ).
tcf(c_97049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X0,X3,X1)
| ( sK0 = sK1 )
| ~ s_t(sK3,sK4,X3)
| ~ s_t(sK0,sK1,X2)
| ~ s_e(sK1,X2,sK4,X3)
| ~ s_e(sK1,X0,sK4,X1)
| ~ s_e(sK0,X0,sK3,X1) ),
inference(superposition,[status(thm)],[c_884,c_54]) ).
tcf(c_97180,plain,
! [X0: $i] :
( ( X0 = sK1 )
| ( ext(X0,sK1,sK5,sK4) = sK2 )
| ~ s_t(X0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_96122,c_68]) ).
tcf(c_97464,plain,
! [X0: $i,X1: $i] :
( s_e(X0,sK2,X1,sK5)
| ( sK0 = sK1 )
| ~ s_t(sK3,sK4,X1)
| ~ s_t(sK0,sK1,X0)
| ~ s_e(sK0,sK2,sK3,sK5)
| ~ s_e(sK1,X0,sK4,X1) ),
inference(superposition,[status(thm)],[c_874,c_97049]) ).
tcf(c_97469,plain,
! [X0: $i,X1: $i] :
( s_e(X0,sK2,X1,sK5)
| ( sK0 = sK1 )
| ~ s_t(sK3,sK4,X1)
| ~ s_t(sK0,sK1,X0)
| ~ s_e(sK1,X0,sK4,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_97464,c_879]) ).
tcf(c_97715,plain,
! [X0: $i,X1: $i] : s_e(sK1,sK2,ext(X0,X1,sK5,sK4),X1),
inference(superposition,[status(thm)],[c_2360,c_2761]) ).
tcf(c_97758,plain,
! [X0: $i,X1: $i] : s_e(ext(X0,X1,sK5,sK4),X1,sK1,sK2),
inference(superposition,[status(thm)],[c_97715,c_62]) ).
tcf(c_99076,plain,
! [X0: $i,X1: $i] : s_e(X0,ext(X1,X0,sK5,sK4),sK1,sK2),
inference(superposition,[status(thm)],[c_97758,c_64]) ).
tcf(c_101885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(sK1,sK2,X2,X3)
| ~ s_e(X0,ext(X1,X0,sK5,sK4),X2,X3) ),
inference(superposition,[status(thm)],[c_99076,c_50]) ).
tcf(c_102999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_e(sK1,sK2,X0,ext(X1,X0,X2,ext(X3,X2,sK5,sK4))),
inference(superposition,[status(thm)],[c_2026,c_101885]) ).
tcf(c_103057,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,sK2,ext(X0,sK4,X1,ext(X2,X1,sK5,sK4)),sK5)
| ( sK0 = sK1 )
| ~ s_t(sK0,sK1,sK2)
| ~ s_t(sK3,sK4,ext(X0,sK4,X1,ext(X2,X1,sK5,sK4))) ),
inference(superposition,[status(thm)],[c_102999,c_97469]) ).
tcf(c_103063,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,sK2,ext(X0,sK4,X1,ext(X2,X1,sK5,sK4)),sK5)
| ( sK0 = sK1 )
| ~ s_t(sK3,sK4,ext(X0,sK4,X1,ext(X2,X1,sK5,sK4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103057,c_93]) ).
tcf(c_103270,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(ext(X0,sK4,X1,ext(X2,X1,sK5,sK4)),sK5,sK2,sK2)
| ( sK0 = sK1 )
| ~ s_t(sK3,sK4,ext(X0,sK4,X1,ext(X2,X1,sK5,sK4))) ),
inference(superposition,[status(thm)],[c_103063,c_62]) ).
tcf(c_206798,plain,
( ( sK0 = sK1 )
| ( ext(sK0,sK1,sK5,sK4) = sK2 ) ),
inference(superposition,[status(thm)],[c_93,c_97180]) ).
tcf(c_206945,plain,
! [X0: $i] :
( s_e(ext(X0,sK4,sK1,sK2),sK5,sK2,sK2)
| ( sK0 = sK1 )
| ~ s_t(sK3,sK4,ext(X0,sK4,sK1,ext(sK0,sK1,sK5,sK4))) ),
inference(superposition,[status(thm)],[c_206798,c_103270]) ).
tcf(c_210054,plain,
( s_e(ext(sK3,sK4,sK1,sK2),sK5,sK2,sK2)
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_52,c_206945]) ).
tcf(c_210383,plain,
( ( sK0 = sK1 )
| ( ext(sK3,sK4,sK1,sK2) = sK5 ) ),
inference(superposition,[status(thm)],[c_210054,c_69]) ).
tcf(c_210407,plain,
( s_t(sK3,sK4,sK5)
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_210383,c_52]) ).
tcf(c_210451,plain,
sK0 = sK1,
inference(forward_subsumption_resolution,[status(thm)],[c_210407,c_95]) ).
tcf(c_211001,plain,
s_e(sK4,sK3,sK0,sK0),
inference(demodulation,[status(thm)],[c_96209,c_210451]) ).
tcf(c_211510,plain,
sK3 = sK4,
inference(superposition,[status(thm)],[c_211001,c_69]) ).
tcf(c_211516,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_211510,c_12623,c_4638,c_2302,c_2206,c_95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO491+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n010.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 12:13:12 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 136.16/21.52 % SZS status Started for theBenchmark.p
% 136.16/21.52 % SZS status Theorem for theBenchmark.p
% 136.16/21.52
% 136.16/21.52 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 136.16/21.52
% 136.16/21.52 % ------ iProver source info
% 136.16/21.52
% 136.16/21.52 % git: date: 2026-07-19 20:42:38 +0200
% 136.16/21.52 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 136.16/21.52 % git: non_committed_changes: false
% 136.16/21.52
% 136.16/21.52 % ------ Parsing...
% 136.16/21.52 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 136.16/21.52
% 136.16/21.52 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 136.16/21.52
% 136.16/21.52 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 136.16/21.52
% 136.16/21.52 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 136.16/21.52 % ------ Proving...
% 136.16/21.52 % ------ Problem Properties
% 136.16/21.52
% 136.16/21.52 %
% 136.16/21.52 % clauses 48
% 136.16/21.52 % conjectures 2
% 136.16/21.52 % EPR 37
% 136.16/21.52 % Horn 44
% 136.16/21.52 % unary 19
% 136.16/21.52 % binary 7
% 136.16/21.52 % lits 119
% 136.16/21.52 % lits eq 12
% 136.16/21.52 % fd_pure 0
% 136.16/21.52 % fd_pseudo 0
% 136.16/21.52 % fd_cond 0
% 136.16/21.52 % fd_pseudo_cond 7
% 136.16/21.52 % AC symbols 0
% 136.16/21.52
% 136.16/21.52 % ------ Input Options Time Limit: Unbounded
% 136.16/21.52
% 136.16/21.52
% 136.16/21.52 % ------
% 136.16/21.52 % Current options:
% 136.16/21.52 % ------
% 136.16/21.52
% 136.16/21.52
% 136.16/21.52 %
% 136.16/21.52
% 136.16/21.52 % ------ Proving...
% 136.16/21.52 %
% 136.16/21.52
% 136.16/21.52 % SZS status Theorem for theBenchmark.p
% 136.16/21.52
% 136.16/21.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 136.16/21.52
% 136.16/21.52
%------------------------------------------------------------------------------