%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUN068+1 : 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 : 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 02:29:56 PM UTC 2026
% Result : Theorem 8.05s 7.87s
% Output : CNFRefutation 8.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 10
% Syntax : Number of formulae : 106 ( 17 unt; 0 def)
% Number of atoms : 281 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 299 ( 124 ~; 155 |; 20 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 0 con; 1-1 aty)
% Number of variables : 199 ( 0 sgn 191 !; 8 ?; 126 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] :
? [X1] :
! [X2] :
( ( ~ id(X2,X1)
& ~ r2(X0,X2) )
| ( r2(X0,X2)
& id(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_2) ).
fof(f5,axiom,
! [X0] : id(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_5) ).
fof(f6,axiom,
! [X0,X1] :
( id(X1,X0)
| ~ id(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_6) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ~ id(X1,X2)
| id(X0,X2)
| ~ id(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_7) ).
fof(f8,axiom,
! [X0,X1] :
( ( r1(X1)
& r1(X0) )
| ( ~ r1(X1)
& ~ r1(X0) )
| ~ id(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_8) ).
fof(f9,axiom,
! [X0,X1,X2,X3] :
( ( r2(X2,X3)
& r2(X0,X1) )
| ( ~ r2(X2,X3)
& ~ r2(X0,X1) )
| ~ id(X1,X3)
| ~ id(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_9) ).
fof(f14,axiom,
! [X0,X1] :
( id(X0,X1)
| ! [X2] :
( ~ r2(X1,X2)
| ! [X3] :
( ~ r2(X0,X3)
| ~ id(X3,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_3a) ).
fof(f15,axiom,
! [X0] :
? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& id(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_4a) ).
fof(f18,axiom,
! [X0,X1] :
( ~ r2(X0,X1)
| ! [X2] :
( ~ r1(X2)
| ~ id(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_7a) ).
fof(f19,conjecture,
? [X0] :
( ! [X3] :
( ~ r1(X3)
| ~ id(X0,X3) )
& ! [X1] :
( ~ id(X0,X1)
| ! [X2] :
( ~ r2(X2,X1)
| ~ r1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonzerosnononesexistid) ).
fof(f20,negated_conjecture,
~ ? [X0] :
( ! [X3] :
( ~ r1(X3)
| ~ id(X0,X3) )
& ! [X1] :
( ~ id(X0,X1)
| ! [X2] :
( ~ r2(X2,X1)
| ~ r1(X2) ) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0] :
( ? [X3] :
( r1(X3)
& id(X0,X3) )
| ? [X1] :
( id(X0,X1)
& ? [X2] :
( r2(X2,X1)
& r1(X2) ) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f22,plain,
! [X0] :
( ( r1(sK2(X0))
& id(X0,sK2(X0)) )
| ( id(X0,sK0(X0))
& r2(sK1(X0),sK0(X0))
& r1(sK1(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X1,sK0(X0)),skolemize(X2,sK1(X0)),skolemize(X3,sK2(X0))],[f21]) ).
fof(f24,plain,
! [X0] :
( r3(X0,sK7(X0),sK6(X0))
& r1(sK7(X0))
& id(sK6(X0),X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X1,sK6(X0)),skolemize(X2,sK7(X0))],[f15]) ).
fof(f26,plain,
! [X0,X2] :
( ( ~ id(X2,sK9(X0))
& ~ r2(X0,X2) )
| ( r2(X0,X2)
& id(X2,sK9(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X1,sK9(X0))],[f2]) ).
fof(f32,plain,
! [X0] :
( r1(sK2(X0))
| id(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f33,plain,
! [X0] :
( id(X0,sK2(X0))
| id(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f34,plain,
! [X0] :
( r1(sK2(X0))
| r2(sK1(X0),sK0(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f35,plain,
! [X0] :
( id(X0,sK2(X0))
| r2(sK1(X0),sK0(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f36,plain,
! [X0] :
( r1(sK2(X0))
| r1(sK1(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f37,plain,
! [X0] :
( id(X0,sK2(X0))
| r1(sK1(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ id(X1,X2)
| id(X0,X2)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
fof(f39,plain,
! [X0,X1] :
( id(X1,X0)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f40,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X2)
| ~ id(X2,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f48,plain,
! [X0] : id(sK6(X0),X0),
inference(cnf_transformation,[],[f24]) ).
fof(f50,plain,
! [X0,X1] :
( r1(X0)
| ~ r1(X1)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f51,plain,
! [X0,X1] :
( r1(X1)
| ~ r1(X0)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f57,plain,
! [X2,X3,X0,X1] :
( id(X0,X1)
| ~ r2(X1,X2)
| ~ r2(X0,X3)
| ~ id(X3,X2) ),
inference(cnf_transformation,[],[f14]) ).
fof(f60,plain,
! [X2,X3,X0,X1] :
( r2(X2,X3)
| ~ r2(X0,X1)
| ~ id(X1,X3)
| ~ id(X0,X2) ),
inference(cnf_transformation,[],[f9]) ).
fof(f62,plain,
! [X2,X0] :
( ~ id(X2,sK9(X0))
| r2(X0,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f65,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| id(X2,sK9(X0)) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_49,negated_conjecture,
! [X0: $i] :
( r1(sK1(X0))
| id(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_50,negated_conjecture,
! [X0: $i] :
( r1(sK2(X0))
| r1(sK1(X0)) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_51,negated_conjecture,
! [X0: $i] :
( id(X0,sK2(X0))
| r2(sK1(X0),sK0(X0)) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_52,negated_conjecture,
! [X0: $i] :
( r1(sK2(X0))
| r2(sK1(X0),sK0(X0)) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_53,negated_conjecture,
! [X0: $i] :
( id(X0,sK0(X0))
| id(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_54,negated_conjecture,
! [X0: $i] :
( r1(sK2(X0))
| id(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] :
( id(X0,X2)
| ~ id(X1,X2)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( id(X1,X0)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_57,plain,
! [X0: $i] : id(X0,X0),
inference(cnf_transformation,[],[f40]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ r1(X0)
| ~ r2(X2,X1)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_63,plain,
! [X0: $i] : id(sK6(X0),X0),
inference(cnf_transformation,[],[f48]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ r1(X0)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( r1(X0)
| ~ r1(X1)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( id(X2,X3)
| ~ r2(X3,X1)
| ~ r2(X2,X0)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r2(X1,X3)
| ~ r2(X0,X2)
| ~ id(X2,X3)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( id(X1,sK9(X0))
| ~ r2(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( r2(X1,X0)
| ~ id(X0,sK9(X1)) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_481,plain,
! [X0: $i] :
( r2(X0,sK9(X0))
| ~ id(sK9(X0),sK9(X0)) ),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_482,plain,
! [X0: $i] : id(sK9(X0),sK9(X0)),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_617,plain,
! [X0: $i,X1: $i] :
( ~ r1(X0)
| ~ r2(X1,sK9(X1))
| ~ id(X0,sK9(X1)) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_1001,plain,
! [X0: $i] :
( r1(sK1(X0))
| id(sK2(X0),X0) ),
inference(superposition,[status(thm)],[c_49,c_56]) ).
tcf(c_1025,plain,
! [X0: $i] :
( r1(sK1(X0))
| id(sK2(X0),X0) ),
inference(superposition,[status(thm)],[c_49,c_56]) ).
tcf(c_1029,plain,
! [X0: $i] : id(X0,sK6(X0)),
inference(superposition,[status(thm)],[c_63,c_56]) ).
tcf(c_1412,plain,
! [X0: $i,X1: $i] :
( r1(sK2(X0))
| id(X0,X1)
| ~ id(sK0(X0),X1) ),
inference(superposition,[status(thm)],[c_54,c_55]) ).
tcf(c_1424,plain,
! [X0: $i,X1: $i] :
( id(X0,X1)
| ~ id(sK6(X0),X1) ),
inference(superposition,[status(thm)],[c_1029,c_55]) ).
tcf(c_1848,plain,
! [X0: $i] : r2(X0,sK9(X0)),
inference(superposition,[status(thm)],[c_57,c_74]) ).
tcf(c_3005,plain,
! [X0: $i] :
( ~ r1(sK9(X0))
| ~ r2(X0,sK9(X0))
| ~ id(sK9(X0),sK9(X0)) ),
inference(instantiation,[status(thm)],[c_617]) ).
tcf(c_3292,plain,
! [X0: $i,X1: $i] :
( r1(sK9(X0))
| ~ r1(X1)
| ~ r2(X0,X1) ),
inference(superposition,[status(thm)],[c_73,c_66]) ).
tcf(c_3297,plain,
! [X0: $i] :
( r1(X0)
| r1(sK1(X0))
| ~ r1(sK2(X0)) ),
inference(superposition,[status(thm)],[c_1001,c_66]) ).
tcf(c_3404,plain,
! [X0: $i] :
( r1(X0)
| r1(sK1(X0))
| ~ r1(sK2(X0)) ),
inference(superposition,[status(thm)],[c_1025,c_66]) ).
tcf(c_7055,plain,
! [X0: $i] :
( r1(X0)
| r1(sK1(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_3297,c_50,c_3297]) ).
tcf(c_7061,plain,
! [X0: $i] :
( r1(X0)
| r1(sK1(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_3404,c_7055]) ).
tcf(c_7196,plain,
! [X0: $i,X1: $i] :
( id(X1,sK2(X1))
| ~ r1(X1)
| ~ r2(X0,sK0(X1)) ),
inference(superposition,[status(thm)],[c_53,c_58]) ).
tcf(c_7197,plain,
! [X0: $i,X1: $i] :
( r1(sK2(X1))
| ~ r1(X1)
| ~ r2(X0,sK0(X1)) ),
inference(superposition,[status(thm)],[c_54,c_58]) ).
tcf(c_7383,plain,
! [X0: $i,X1: $i] :
( r1(sK1(X1))
| ~ r1(X1)
| ~ r2(X0,sK2(X1)) ),
inference(superposition,[status(thm)],[c_49,c_58]) ).
tcf(c_7386,plain,
! [X0: $i,X1: $i] :
( ~ r1(X1)
| ~ r2(X0,X1) ),
inference(superposition,[status(thm)],[c_57,c_58]) ).
tcf(c_8361,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1(sK2(X1))
| id(X2,X0)
| ~ r2(X2,X1)
| ~ r2(X0,sK0(X1)) ),
inference(superposition,[status(thm)],[c_54,c_70]) ).
tcf(c_8558,plain,
! [X0: $i,X1: $i,X2: $i] :
( id(X2,X0)
| id(X1,sK2(X1))
| ~ r2(X2,X1)
| ~ r2(X0,sK0(X1)) ),
inference(superposition,[status(thm)],[c_53,c_70]) ).
tcf(c_9534,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2(sK0(X2),X1)
| id(X2,sK2(X2))
| ~ r2(X2,X0)
| ~ id(X0,X1) ),
inference(superposition,[status(thm)],[c_53,c_71]) ).
tcf(c_9535,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1(sK2(X2))
| r2(sK0(X2),X1)
| ~ r2(X2,X0)
| ~ id(X0,X1) ),
inference(superposition,[status(thm)],[c_54,c_71]) ).
tcf(c_11326,plain,
! [X0: $i,X1: $i] :
( r1(sK1(X1))
| ~ r2(X0,sK2(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7383,c_7061]) ).
tcf(c_11341,plain,
! [X0: $i] :
( r1(sK2(X0))
| ~ r1(X0) ),
inference(superposition,[status(thm)],[c_52,c_7197]) ).
tcf(c_11382,plain,
! [X0: $i] :
( id(X0,sK2(X0))
| ~ r1(X0) ),
inference(superposition,[status(thm)],[c_51,c_7196]) ).
tcf(c_11503,plain,
! [X0: $i,X1: $i] :
( r1(sK2(X1))
| id(X0,sK1(X1))
| ~ r2(X0,X1) ),
inference(superposition,[status(thm)],[c_52,c_8361]) ).
tcf(c_13806,plain,
! [X0: $i,X1: $i] :
( r1(sK2(X0))
| r1(sK1(X1))
| r2(sK0(X0),sK2(X1))
| ~ r2(X0,X1) ),
inference(superposition,[status(thm)],[c_49,c_9535]) ).
tcf(c_13809,plain,
! [X0: $i,X1: $i] :
( r1(sK2(X0))
| r2(sK0(X0),X1)
| ~ r2(X0,X1) ),
inference(superposition,[status(thm)],[c_57,c_9535]) ).
tcf(c_13824,plain,
! [X0: $i,X1: $i] :
( r1(sK2(X0))
| r2(sK0(X0),sK6(X1))
| ~ r2(X0,X1) ),
inference(superposition,[status(thm)],[c_1029,c_9535]) ).
tcf(c_15397,plain,
! [X0: $i,X1: $i] :
( r1(sK2(X0))
| r1(sK1(X1))
| ~ r2(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13806,c_11326]) ).
tcf(c_16853,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1(sK2(X1))
| id(X2,X0)
| ~ r2(X2,X1)
| ~ r2(X0,sK0(X1)) ),
inference(superposition,[status(thm)],[c_54,c_70]) ).
tcf(c_18119,plain,
! [X0: $i,X1: $i] :
( r1(sK2(X1))
| id(X1,sK2(X1))
| id(X0,sK1(X1))
| ~ r2(X0,X1) ),
inference(superposition,[status(thm)],[c_51,c_16853]) ).
tcf(c_19009,plain,
! [X0: $i,X1: $i] :
( id(X1,sK2(X1))
| id(X0,sK1(X1))
| ~ r2(X0,X1) ),
inference(superposition,[status(thm)],[c_51,c_8558]) ).
tcf(c_19296,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| id(X0,sK1(X1))
| ~ r1(sK2(X1))
| ~ r2(X0,X1) ),
inference(superposition,[status(thm)],[c_19009,c_67]) ).
tcf(c_19987,plain,
! [X0: $i,X1: $i] :
( r1(sK1(X1))
| id(X0,sK2(X0))
| r2(sK0(X0),sK2(X1))
| ~ r2(X0,X1) ),
inference(superposition,[status(thm)],[c_49,c_9534]) ).
tcf(c_19989,plain,
! [X0: $i,X1: $i] :
( r1(sK2(X1))
| id(X0,sK2(X0))
| r2(sK0(X0),sK0(X1))
| ~ r2(X0,X1) ),
inference(superposition,[status(thm)],[c_54,c_9534]) ).
tcf(c_22708,plain,
! [X0: $i,X1: $i] :
( id(X0,sK1(X1))
| ~ r2(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_18119,c_481,c_482,c_3005,c_3292,c_11503,c_19296]) ).
tcf(c_22721,plain,
! [X0: $i,X1: $i] :
( r1(X0)
| ~ r1(sK1(X1))
| ~ r2(X0,X1) ),
inference(superposition,[status(thm)],[c_22708,c_67]) ).
tcf(c_22920,plain,
! [X0: $i,X1: $i] :
( ~ r2(X0,X1)
| r2(sK0(X0),sK2(X1))
| id(X0,sK2(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_19987,c_11382,c_19987,c_22721]) ).
tcf(c_22921,plain,
! [X0: $i,X1: $i] :
( id(X0,sK2(X0))
| r2(sK0(X0),sK2(X1))
| ~ r2(X0,X1) ),
inference(renaming,[status(thm)],[c_22920]) ).
tcf(c_22945,plain,
! [X0: $i,X1: $i] :
( r1(sK1(X1))
| id(X0,sK2(X0))
| ~ r2(X0,X1) ),
inference(superposition,[status(thm)],[c_22921,c_11326]) ).
tcf(c_23389,plain,
! [X0: $i,X1: $i] :
( ~ r2(X0,X1)
| id(X0,sK2(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_19989,c_11382,c_22721,c_22945]) ).
tcf(c_23390,plain,
! [X0: $i,X1: $i] :
( id(X0,sK2(X0))
| ~ r2(X0,X1) ),
inference(renaming,[status(thm)],[c_23389]) ).
tcf(c_23406,plain,
! [X0: $i] : id(X0,sK2(X0)),
inference(superposition,[status(thm)],[c_1848,c_23390]) ).
tcf(c_23425,plain,
! [X0: $i] : id(sK2(X0),X0),
inference(superposition,[status(thm)],[c_23406,c_56]) ).
tcf(c_23427,plain,
! [X0: $i] :
( r1(sK2(X0))
| id(X0,sK2(sK0(X0))) ),
inference(superposition,[status(thm)],[c_23406,c_1412]) ).
tcf(c_23464,plain,
! [X0: $i] : r2(X0,sK2(sK9(X0))),
inference(superposition,[status(thm)],[c_23425,c_74]) ).
tcf(c_23488,plain,
! [X0: $i] : ~ r1(sK2(sK9(X0))),
inference(superposition,[status(thm)],[c_23464,c_7386]) ).
tcf(c_23610,plain,
! [X0: $i] : id(X0,sK2(sK6(X0))),
inference(superposition,[status(thm)],[c_23406,c_1424]) ).
tcf(c_24020,plain,
! [X0: $i] : id(sK2(sK6(X0)),X0),
inference(superposition,[status(thm)],[c_23610,c_56]) ).
tcf(c_24724,plain,
! [X0: $i] : r2(X0,sK2(sK6(sK9(X0)))),
inference(superposition,[status(thm)],[c_24020,c_74]) ).
tcf(c_25461,plain,
! [X0: $i] :
( r1(X0)
| r1(sK2(X0))
| ~ r1(sK2(sK0(X0))) ),
inference(superposition,[status(thm)],[c_23427,c_67]) ).
tcf(c_30930,plain,
! [X0: $i,X1: $i] :
( r1(sK2(X0))
| r1(sK1(X1))
| r1(sK2(sK0(X0)))
| ~ r2(X0,X1) ),
inference(superposition,[status(thm)],[c_13809,c_15397]) ).
tcf(c_37675,plain,
! [X0: $i,X1: $i] :
( r1(sK2(X0))
| ~ r2(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_13824,c_11341,c_22721,c_25461,c_30930]) ).
tcf(c_37699,plain,
! [X0: $i] : r1(sK2(X0)),
inference(superposition,[status(thm)],[c_24724,c_37675]) ).
tcf(c_37705,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_23488,c_37699]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN068+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.42 % Computer : n026.cluster.edu
% 0.10/5.42 % Model : x86_64 x86_64
% 0.10/5.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.42 % Memory : 8046.5625MB
% 0.10/5.42 % OS : Linux 6.8.0-71-generic
% 0.10/5.42 % CPULimit : 300
% 0.10/5.42 % WCLimit : 300
% 0.10/5.42 % DateTime : Thu Sep 24 05:57:14 UTC 2026
% 0.10/5.43 % CPUTime :
% 0.10/5.43 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.46 Running first-order theorem proving
% 0.10/5.46 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
% 0.10/5.48
% 0.10/5.48 % ======== iProver multi-core TPTP/SMT =========
% 0.10/5.48
% 0.10/5.48 % Detected problem language: tptp
% 0.10/5.49 % Proving...
% 8.05/7.87 % SZS status Started for theBenchmark.p
% 8.05/7.87 % SZS status Theorem for theBenchmark.p
% 8.05/7.87
% 8.05/7.87 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.05/7.87
% 8.05/7.87 % ------ iProver source info
% 8.05/7.87
% 8.05/7.87 % git: date: 2026-07-19 20:42:38 +0200
% 8.05/7.87 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.05/7.87 % git: non_committed_changes: false
% 8.05/7.87
% 8.05/7.87 % ------ Parsing...
% 8.05/7.87 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.05/7.87
% 8.05/7.87 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 8.05/7.87
% 8.05/7.87 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.05/7.87 % ------ Proving...
% 8.05/7.87 % ------ Problem Properties
% 8.05/7.87
% 8.05/7.87 %
% 8.05/7.87 % clauses 48
% 8.05/7.87 % conjectures 6
% 8.05/7.87 % EPR 15
% 8.05/7.87 % Horn 38
% 8.05/7.87 % unary 18
% 8.05/7.87 % binary 19
% 8.05/7.87 % lits 100
% 8.05/7.87 % lits eq 0
% 8.05/7.87 % fd_pure 0
% 8.05/7.87 % fd_pseudo 0
% 8.05/7.87 % fd_cond 0
% 8.05/7.87 % fd_pseudo_cond 0
% 8.05/7.87 % AC symbols 0
% 8.05/7.87
% 8.05/7.87 % ------ Schedule dynamic 5 is on
% 8.05/7.87
% 8.05/7.87 % ------ no equalities: superposition off
% 8.05/7.87
% 8.05/7.87 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.05/7.87
% 8.05/7.87
% 8.05/7.87 % ------
% 8.05/7.87 % Current options:
% 8.05/7.87 % ------
% 8.05/7.87
% 8.05/7.87
% 8.05/7.87 %
% 8.05/7.87
% 8.05/7.87 % ------ Proving...
% 8.05/7.87 %
% 8.05/7.87
% 8.05/7.87 % SZS status Theorem for theBenchmark.p
% 8.05/7.87
% 8.05/7.87 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.05/7.87
% 8.05/7.87
%------------------------------------------------------------------------------