%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUN072+2 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n005.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 02:29:57 PM UTC 2026
% Result : Theorem 1.20s 6.76s
% Output : CNFRefutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 108 ( 66 unt; 0 def)
% Number of atoms : 258 ( 79 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 258 ( 108 ~; 90 |; 60 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 1 con; 0-2 aty)
% Number of variables : 257 ( 0 sgn 222 !; 35 ?; 121 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0] :
! [X1] :
( ( X1 = X0
& r1(X1) )
| ( X1 != X0
& ~ r1(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1) ).
fof(f2,axiom,
! [X0] :
? [X1] :
! [X2] :
( ( X2 = X1
& r2(X0,X2) )
| ( X2 != X1
& ~ r2(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2) ).
fof(f3,axiom,
! [X0,X1] :
? [X2] :
! [X3] :
( ( X3 = X2
& r3(X0,X1,X3) )
| ( X3 != X2
& ~ r3(X0,X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_3) ).
fof(f4,axiom,
! [X0,X1] :
? [X2] :
! [X3] :
( ( X3 = X2
& r4(X0,X1,X3) )
| ( X3 != X2
& ~ r4(X0,X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_4) ).
fof(f5,axiom,
! [X0,X1] :
? [X2] :
( ? [X5] :
( r3(X0,X1,X5)
& r2(X5,X2) )
& ? [X3] :
( X3 = X2
& ? [X4] :
( r3(X0,X4,X3)
& r2(X1,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).
fof(f6,axiom,
! [X0,X1] :
? [X2] :
( ? [X5] :
( r4(X0,X1,X5)
& r3(X5,X0,X2) )
& ? [X3] :
( X3 = X2
& ? [X4] :
( r4(X0,X4,X3)
& r2(X1,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
fof(f8,axiom,
! [X0] :
? [X1] :
( X1 = X0
& ? [X2] :
( r3(X0,X2,X1)
& r1(X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_4a) ).
fof(f9,axiom,
! [X0] :
? [X1] :
( ? [X3] :
( X1 = X3
& r1(X3) )
& ? [X2] :
( r4(X0,X2,X1)
& r1(X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
fof(f12,conjecture,
? [X0] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( r2(X8,X7)
& r1(X8) )
& r2(X7,X6) )
& X0 = X6 )
& ? [X1] :
( ? [X4] :
( ? [X5] :
( r2(X5,X4)
& r1(X5) )
& r4(X4,X1,X0) )
& ? [X2] :
( ? [X3] :
( r2(X3,X2)
& r1(X3) )
& r2(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',onetimestwoeqtwo) ).
fof(f13,negated_conjecture,
~ ? [X0] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( r2(X8,X7)
& r1(X8) )
& r2(X7,X6) )
& X0 = X6 )
& ? [X1] :
( ? [X4] :
( ? [X5] :
( r2(X5,X4)
& r1(X5) )
& r4(X4,X1,X0) )
& ? [X2] :
( ? [X3] :
( r2(X3,X2)
& r1(X3) )
& r2(X2,X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
! [X0] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ r2(X8,X7)
| ~ r1(X8) )
| ~ r2(X7,X6) )
| X0 != X6 )
| ! [X1] :
( ! [X4] :
( ! [X5] :
( ~ r2(X5,X4)
| ~ r1(X5) )
| ~ r4(X4,X1,X0) )
| ! [X2] :
( ! [X3] :
( ~ r2(X3,X2)
| ~ r1(X3) )
| ~ r2(X2,X1) ) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f16,plain,
! [X0] :
( sK3(X0) = sK5(X0)
& r1(sK5(X0))
& r4(X0,sK4(X0),sK3(X0))
& r1(sK4(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X1,sK3(X0)),skolemize(X2,sK4(X0)),skolemize(X3,sK5(X0))],[f9]) ).
fof(f17,plain,
! [X0] :
( sK6(X0) = X0
& r3(X0,sK7(X0),sK6(X0))
& r1(sK7(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X1,sK6(X0)),skolemize(X2,sK7(X0))],[f8]) ).
fof(f18,plain,
! [X1] :
( ( sK8 = X1
& r1(X1) )
| ( sK8 != X1
& ~ r1(X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X0,sK8)],[f1]) ).
fof(f19,plain,
! [X0,X2] :
( ( sK9(X0) = X2
& r2(X0,X2) )
| ( sK9(X0) != X2
& ~ r2(X0,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X1,sK9(X0))],[f2]) ).
fof(f20,plain,
! [X0,X1] :
( r4(X0,X1,sK13(X0,X1))
& r3(sK13(X0,X1),X0,sK10(X0,X1))
& sK10(X0,X1) = sK11(X0,X1)
& r4(X0,sK12(X0,X1),sK11(X0,X1))
& r2(X1,sK12(X0,X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13]),skolemize(X2,sK10(X0,X1)),skolemize(X3,sK11(X0,X1)),skolemize(X4,sK12(X0,X1)),skolemize(X5,sK13(X0,X1))],[f6]) ).
fof(f21,plain,
! [X0,X1,X3] :
( ( sK14(X0,X1) = X3
& r4(X0,X1,X3) )
| ( sK14(X0,X1) != X3
& ~ r4(X0,X1,X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X2,sK14(X0,X1))],[f4]) ).
fof(f22,plain,
! [X0,X1] :
( r3(X0,X1,sK18(X0,X1))
& r2(sK18(X0,X1),sK15(X0,X1))
& sK15(X0,X1) = sK16(X0,X1)
& r3(X0,sK17(X0,X1),sK16(X0,X1))
& r2(X1,sK17(X0,X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18]),skolemize(X2,sK15(X0,X1)),skolemize(X3,sK16(X0,X1)),skolemize(X4,sK17(X0,X1)),skolemize(X5,sK18(X0,X1))],[f5]) ).
fof(f23,plain,
! [X0,X1,X3] :
( ( sK19(X0,X1) = X3
& r3(X0,X1,X3) )
| ( sK19(X0,X1) != X3
& ~ r3(X0,X1,X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X2,sK19(X0,X1))],[f3]) ).
fof(f24,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ r2(X8,X7)
| ~ r1(X8)
| ~ r2(X7,X6)
| X0 != X6
| ~ r2(X5,X4)
| ~ r1(X5)
| ~ r4(X4,X1,X0)
| ~ r2(X3,X2)
| ~ r1(X3)
| ~ r2(X2,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f30,plain,
! [X0] : sK3(X0) = sK5(X0),
inference(cnf_transformation,[],[f16]) ).
fof(f31,plain,
! [X0] : r1(sK5(X0)),
inference(cnf_transformation,[],[f16]) ).
fof(f32,plain,
! [X0] : r4(X0,sK4(X0),sK3(X0)),
inference(cnf_transformation,[],[f16]) ).
fof(f33,plain,
! [X0] : r1(sK4(X0)),
inference(cnf_transformation,[],[f16]) ).
fof(f34,plain,
! [X0] : sK6(X0) = X0,
inference(cnf_transformation,[],[f17]) ).
fof(f35,plain,
! [X0] : r3(X0,sK7(X0),sK6(X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f36,plain,
! [X0] : r1(sK7(X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f38,plain,
! [X1] :
( r1(X1)
| sK8 != X1 ),
inference(cnf_transformation,[],[f18]) ).
fof(f39,plain,
! [X1] :
( sK8 = X1
| ~ r1(X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f43,plain,
! [X2,X0] :
( r2(X0,X2)
| sK9(X0) != X2 ),
inference(cnf_transformation,[],[f19]) ).
fof(f44,plain,
! [X2,X0] :
( sK9(X0) = X2
| ~ r2(X0,X2) ),
inference(cnf_transformation,[],[f19]) ).
fof(f46,plain,
! [X0,X1] : r4(X0,X1,sK13(X0,X1)),
inference(cnf_transformation,[],[f20]) ).
fof(f47,plain,
! [X0,X1] : r3(sK13(X0,X1),X0,sK10(X0,X1)),
inference(cnf_transformation,[],[f20]) ).
fof(f48,plain,
! [X0,X1] : sK10(X0,X1) = sK11(X0,X1),
inference(cnf_transformation,[],[f20]) ).
fof(f49,plain,
! [X0,X1] : r4(X0,sK12(X0,X1),sK11(X0,X1)),
inference(cnf_transformation,[],[f20]) ).
fof(f50,plain,
! [X0,X1] : r2(X1,sK12(X0,X1)),
inference(cnf_transformation,[],[f20]) ).
fof(f53,plain,
! [X3,X0,X1] :
( sK14(X0,X1) = X3
| ~ r4(X0,X1,X3) ),
inference(cnf_transformation,[],[f21]) ).
fof(f55,plain,
! [X0,X1] : r3(X0,X1,sK18(X0,X1)),
inference(cnf_transformation,[],[f22]) ).
fof(f56,plain,
! [X0,X1] : r2(sK18(X0,X1),sK15(X0,X1)),
inference(cnf_transformation,[],[f22]) ).
fof(f57,plain,
! [X0,X1] : sK15(X0,X1) = sK16(X0,X1),
inference(cnf_transformation,[],[f22]) ).
fof(f58,plain,
! [X0,X1] : r3(X0,sK17(X0,X1),sK16(X0,X1)),
inference(cnf_transformation,[],[f22]) ).
fof(f59,plain,
! [X0,X1] : r2(X1,sK17(X0,X1)),
inference(cnf_transformation,[],[f22]) ).
fof(f62,plain,
! [X3,X0,X1] :
( sK19(X0,X1) = X3
| ~ r3(X0,X1,X3) ),
inference(cnf_transformation,[],[f23]) ).
fof(f64,plain,
! [X0] : r4(X0,sK4(X0),sK5(X0)),
inference(definition_unfolding,[],[f32,f30]) ).
fof(f65,plain,
! [X0,X1] : r3(sK13(X0,X1),X0,sK11(X0,X1)),
inference(definition_unfolding,[],[f47,f48]) ).
fof(f66,plain,
! [X0,X1] : r2(sK18(X0,X1),sK16(X0,X1)),
inference(definition_unfolding,[],[f56,f57]) ).
fof(f67,plain,
! [X2,X3,X1,X8,X6,X7,X4,X5] :
( ~ r2(X8,X7)
| ~ r1(X8)
| ~ r2(X7,X6)
| ~ r2(X5,X4)
| ~ r1(X5)
| ~ r4(X4,X1,X6)
| ~ r2(X3,X2)
| ~ r1(X3)
| ~ r2(X2,X1) ),
inference(equality_resolution,[],[f24]) ).
fof(f69,plain,
r1(sK8),
inference(equality_resolution,[],[f38]) ).
fof(f72,plain,
! [X0] : r2(X0,sK9(X0)),
inference(equality_resolution,[],[f43]) ).
tcf(c_49,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ r1(X7)
| ~ r1(X5)
| ~ r1(X4)
| ~ r2(X7,X6)
| ~ r2(X6,X2)
| ~ r2(X5,X0)
| ~ r2(X4,X3)
| ~ r2(X3,X1)
| ~ r4(X0,X1,X2) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_55,plain,
! [X0: $i] : r1(sK4(X0)),
inference(cnf_transformation,[],[f33]) ).
tcf(c_56,plain,
! [X0: $i] : r4(X0,sK4(X0),sK5(X0)),
inference(cnf_transformation,[],[f64]) ).
tcf(c_57,plain,
! [X0: $i] : r1(sK5(X0)),
inference(cnf_transformation,[],[f31]) ).
tcf(c_58,plain,
! [X0: $i] : r1(sK7(X0)),
inference(cnf_transformation,[],[f36]) ).
tcf(c_59,plain,
! [X0: $i] : r3(X0,sK7(X0),sK6(X0)),
inference(cnf_transformation,[],[f35]) ).
tcf(c_60,plain,
! [X0: $i] : sK6(X0) = X0,
inference(cnf_transformation,[],[f34]) ).
tcf(c_61,plain,
! [X0: $i] :
( ( X0 = sK8 )
| ~ r1(X0) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_62,plain,
r1(sK8),
inference(cnf_transformation,[],[f69]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( ( sK9(X0) = X1 )
| ~ r2(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_65,plain,
! [X0: $i] : r2(X0,sK9(X0)),
inference(cnf_transformation,[],[f72]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] : r2(X0,sK12(X1,X0)),
inference(cnf_transformation,[],[f50]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] : r4(X0,sK12(X0,X1),sK11(X0,X1)),
inference(cnf_transformation,[],[f49]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] : r3(sK13(X0,X1),X0,sK11(X0,X1)),
inference(cnf_transformation,[],[f65]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] : r4(X0,X1,sK13(X0,X1)),
inference(cnf_transformation,[],[f46]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK14(X0,X1) = X2 )
| ~ r4(X0,X1,X2) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] : r2(X0,sK17(X1,X0)),
inference(cnf_transformation,[],[f59]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] : r3(X0,sK17(X0,X1),sK16(X0,X1)),
inference(cnf_transformation,[],[f58]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] : r2(sK18(X0,X1),sK16(X0,X1)),
inference(cnf_transformation,[],[f66]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] : r3(X0,X1,sK18(X0,X1)),
inference(cnf_transformation,[],[f55]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK19(X0,X1) = X2 )
| ~ r3(X0,X1,X2) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_81,plain,
r2(sK8,sK9(sK8)),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_201,plain,
! [X0: $i] : r3(X0,sK7(X0),X0),
inference(light_normalisation,[status(thm)],[c_59,c_60]) ).
tcf(c_268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sK19(X3,X4) = X2 )
| ( X0 != X4 )
| ( sK13(X0,X1) != X3 )
| ( sK11(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_68,c_76]) ).
tcf(c_269,plain,
! [X0: $i,X1: $i] : sK19(sK13(X0,X1),X0) = sK11(X0,X1),
inference(unflattening,[status(thm)],[c_268]) ).
tcf(c_274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sK19(X4,X2) = X3 )
| ( X0 != X4 )
| ( sK16(X0,X1) != X3 )
| ( sK17(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_73,c_76]) ).
tcf(c_275,plain,
! [X0: $i,X1: $i] : sK19(X0,sK17(X0,X1)) = sK16(X0,X1),
inference(unflattening,[status(thm)],[c_274]) ).
tcf(c_280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sK19(X3,X4) = X2 )
| ( X1 != X4 )
| ( X0 != X3 )
| ( sK18(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_75,c_76]) ).
tcf(c_281,plain,
! [X0: $i,X1: $i] : sK19(X0,X1) = sK18(X0,X1),
inference(unflattening,[status(thm)],[c_280]) ).
tcf(c_288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sK19(X0,X2) = X3 )
| ( X1 != X3 )
| ( X0 != X1 )
| ( sK7(X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_76,c_201]) ).
tcf(c_289,plain,
! [X0: $i] : sK19(X0,sK7(X0)) = X0,
inference(unflattening,[status(thm)],[c_288]) ).
tcf(c_554,plain,
! [X0: $i] : sK18(X0,sK7(X0)) = X0,
inference(demodulation,[status(thm)],[c_289,c_281]) ).
tcf(c_567,plain,
! [X0: $i,X1: $i] : sK18(X0,sK17(X0,X1)) = sK16(X0,X1),
inference(demodulation,[status(thm)],[c_275,c_281]) ).
tcf(c_568,plain,
! [X0: $i,X1: $i] : sK18(sK13(X0,X1),X0) = sK11(X0,X1),
inference(demodulation,[status(thm)],[c_269,c_281]) ).
tcf(c_1137,plain,
! [X0: $i] : sK4(X0) = sK8,
inference(superposition,[status(thm)],[c_55,c_61]) ).
tcf(c_1138,plain,
! [X0: $i] : sK5(X0) = sK8,
inference(superposition,[status(thm)],[c_57,c_61]) ).
tcf(c_1139,plain,
! [X0: $i] : sK7(X0) = sK8,
inference(superposition,[status(thm)],[c_58,c_61]) ).
tcf(c_1141,plain,
! [X0: $i] : r4(X0,sK8,sK5(X0)),
inference(demodulation,[status(thm)],[c_56,c_1137]) ).
tcf(c_1249,plain,
! [X0: $i] : r4(X0,sK8,sK8),
inference(light_normalisation,[status(thm)],[c_1141,c_1138]) ).
tcf(c_1290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ r1(X6)
| ~ r1(X5)
| ~ r1(X4)
| ~ r2(X6,X3)
| ~ r2(X5,X1)
| ~ r2(X4,X0)
| ~ r2(X3,sK11(X1,X2))
| ~ r2(X0,sK12(X1,X2)) ),
inference(superposition,[status(thm)],[c_67,c_49]) ).
tcf(c_1315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ r1(X5)
| ~ r1(X4)
| ~ r1(X3)
| ~ r2(X5,X0)
| ~ r2(X4,X1)
| ~ r2(X3,X2)
| ~ r2(X0,sK11(X1,X2)) ),
inference(superposition,[status(thm)],[c_66,c_1290]) ).
tcf(c_1516,plain,
! [X0: $i,X1: $i] : sK12(X0,X1) = sK9(X1),
inference(superposition,[status(thm)],[c_66,c_64]) ).
tcf(c_1517,plain,
! [X0: $i,X1: $i] : sK17(X0,X1) = sK9(X1),
inference(superposition,[status(thm)],[c_72,c_64]) ).
tcf(c_1522,plain,
! [X0: $i,X1: $i] : r4(X0,sK9(X1),sK11(X0,X1)),
inference(demodulation,[status(thm)],[c_67,c_1516]) ).
tcf(c_1582,plain,
! [X0: $i,X1: $i] : sK13(X0,X1) = sK14(X0,X1),
inference(superposition,[status(thm)],[c_69,c_70]) ).
tcf(c_1584,plain,
! [X0: $i] : sK14(X0,sK8) = sK8,
inference(superposition,[status(thm)],[c_1249,c_70]) ).
tcf(c_1585,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK13(X0,X1) = X2 )
| ~ r4(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_70,c_1582]) ).
tcf(c_1616,plain,
! [X0: $i] : sK13(X0,sK8) = sK8,
inference(demodulation,[status(thm)],[c_1584,c_1582]) ).
tcf(c_1619,plain,
! [X0: $i] : sK18(X0,sK8) = X0,
inference(light_normalisation,[status(thm)],[c_554,c_1139]) ).
tcf(c_2052,plain,
! [X0: $i,X1: $i] : sK18(X0,sK9(X1)) = sK16(X0,X1),
inference(light_normalisation,[status(thm)],[c_567,c_1517]) ).
tcf(c_2079,plain,
! [X0: $i,X1: $i] : sK16(sK13(sK9(X0),X1),X0) = sK11(sK9(X0),X1),
inference(superposition,[status(thm)],[c_568,c_2052]) ).
tcf(c_2730,plain,
! [X0: $i,X1: $i] : sK13(X0,sK9(X1)) = sK11(X0,X1),
inference(superposition,[status(thm)],[c_1522,c_1585]) ).
tcf(c_10803,plain,
! [X0: $i,X1: $i] : r2(sK18(sK13(sK9(X0),X1),X0),sK11(sK9(X0),X1)),
inference(superposition,[status(thm)],[c_2079,c_74]) ).
tcf(c_11266,plain,
! [X0: $i] : r2(sK13(sK9(sK8),X0),sK11(sK9(sK8),X0)),
inference(superposition,[status(thm)],[c_1619,c_10803]) ).
tcf(c_11797,plain,
r2(sK8,sK11(sK9(sK8),sK8)),
inference(superposition,[status(thm)],[c_1616,c_11266]) ).
tcf(c_11809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r1(X3)
| ~ r1(X2)
| ~ r1(X0)
| ~ r2(X3,X1)
| ~ r2(X2,sK9(sK8))
| ~ r2(X0,sK13(sK9(sK8),X1)) ),
inference(superposition,[status(thm)],[c_11266,c_1315]) ).
tcf(c_12193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r1(X3)
| ~ r1(X2)
| ~ r1(X0)
| ~ r2(X3,sK9(sK8))
| ~ r2(X2,sK9(X1))
| ~ r2(X0,sK11(sK9(sK8),X1)) ),
inference(superposition,[status(thm)],[c_2730,c_11809]) ).
tcf(c_12212,plain,
( ~ r1(sK8)
| ~ r2(sK8,sK9(sK8))
| ~ r2(sK8,sK11(sK9(sK8),sK8)) ),
inference(instantiation,[status(thm)],[c_12193]) ).
tcf(c_12213,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_12212,c_11797,c_81,c_62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN072+2 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.38 % Computer : n005.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Thu Sep 24 05:56:08 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.42 Running first-order theorem proving
% 0.14/5.42 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
% 0.14/5.43
% 0.14/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.43
% 0.14/5.43 % Detected problem language: tptp
% 0.14/5.44 % Proving...
% 1.20/6.76 % SZS status Started for theBenchmark.p
% 1.20/6.76 % SZS status Theorem for theBenchmark.p
% 1.20/6.76
% 1.20/6.76 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.20/6.76
% 1.20/6.76 % ------ iProver source info
% 1.20/6.76
% 1.20/6.76 % git: date: 2026-07-19 20:42:38 +0200
% 1.20/6.76 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.20/6.76 % git: non_committed_changes: false
% 1.20/6.76
% 1.20/6.76 % ------ Parsing...
% 1.20/6.76 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.20/6.76
% 1.20/6.76 % ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 3 sf_s rm: 2 0s sf_e pe_s pe_e %
% 1.20/6.76
% 1.20/6.76 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.20/6.76
% 1.20/6.76 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.20/6.76 % ------ Proving...
% 1.20/6.76 % ------ Problem Properties
% 1.20/6.76
% 1.20/6.76 %
% 1.20/6.76 % clauses 27
% 1.20/6.76 % conjectures 1
% 1.20/6.76 % EPR 5
% 1.20/6.76 % Horn 23
% 1.20/6.76 % unary 17
% 1.20/6.76 % binary 8
% 1.20/6.76 % lits 45
% 1.20/6.76 % lits eq 13
% 1.20/6.76 % fd_pure 0
% 1.20/6.76 % fd_pseudo 0
% 1.20/6.76 % fd_cond 1
% 1.20/6.76 % fd_pseudo_cond 3
% 1.20/6.76 % AC symbols 0
% 1.20/6.76
% 1.20/6.76 % ------ Schedule dynamic 5 is on
% 1.20/6.76
% 1.20/6.76 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.20/6.76
% 1.20/6.76
% 1.20/6.76 % ------
% 1.20/6.76 % Current options:
% 1.20/6.76 % ------
% 1.20/6.76
% 1.20/6.76
% 1.20/6.76 %
% 1.20/6.76
% 1.20/6.76 % ------ Proving...
% 1.20/6.76 %
% 1.20/6.76
% 1.20/6.76 % SZS status Theorem for theBenchmark.p
% 1.20/6.76
% 1.20/6.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.20/6.76
% 1.20/6.76
%------------------------------------------------------------------------------