TSTP Solution File: NUN080+2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUN080+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:53:18 EDT 2024
% Result : Theorem 0.49s 1.17s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 8 unt; 0 def)
% Number of atoms : 114 ( 39 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 145 ( 63 ~; 39 |; 40 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 99 ( 7 sgn 52 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( X0 != X1
& ~ r1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f2,axiom,
! [X2] :
? [X3] :
! [X4] :
( ( X3 = X4
& r2(X2,X4) )
| ( X3 != X4
& ~ r2(X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f3,axiom,
! [X5,X6] :
? [X7] :
! [X8] :
( ( X7 = X8
& r3(X5,X6,X8) )
| ( X7 != X8
& ~ r3(X5,X6,X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f12,conjecture,
? [X38,X21,X22] :
( ? [X15] :
( ? [X16] :
( ? [X24] :
( r2(X24,X16)
& r1(X24) )
& r2(X16,X15) )
& r3(X38,X15,X22) )
& X21 = X22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xplustwoeqy) ).
fof(f13,negated_conjecture,
~ ? [X38,X21,X22] :
( ? [X15] :
( ? [X16] :
( ? [X24] :
( r2(X24,X16)
& r1(X24) )
& r2(X16,X15) )
& r3(X38,X15,X22) )
& X21 = X22 ),
inference(negated_conjecture,[],[f12]) ).
fof(f14,plain,
! [X0] :
? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( X1 != X2
& ~ r2(X0,X2) ) ),
inference(rectify,[],[f2]) ).
fof(f15,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( X2 = X3
& r3(X0,X1,X3) )
| ( X2 != X3
& ~ r3(X0,X1,X3) ) ),
inference(rectify,[],[f3]) ).
fof(f24,plain,
~ ? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( r2(X5,X4)
& r1(X5) )
& r2(X4,X3) )
& r3(X0,X3,X2) )
& X1 = X2 ),
inference(rectify,[],[f13]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ r2(X5,X4)
| ~ r1(X5) )
| ~ r2(X4,X3) )
| ~ r3(X0,X3,X2) )
| X1 != X2 ),
inference(ennf_transformation,[],[f24]) ).
fof(f26,plain,
( ? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( X0 != X1
& ~ r1(X1) ) )
=> ! [X1] :
( ( sK0 = X1
& r1(X1) )
| ( sK0 != X1
& ~ r1(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X1] :
( ( sK0 = X1
& r1(X1) )
| ( sK0 != X1
& ~ r1(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f1,f26]) ).
fof(f28,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( X1 != X2
& ~ r2(X0,X2) ) )
=> ! [X2] :
( ( sK1(X0) = X2
& r2(X0,X2) )
| ( sK1(X0) != X2
& ~ r2(X0,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0,X2] :
( ( sK1(X0) = X2
& r2(X0,X2) )
| ( sK1(X0) != X2
& ~ r2(X0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f14,f28]) ).
fof(f30,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( X2 = X3
& r3(X0,X1,X3) )
| ( X2 != X3
& ~ r3(X0,X1,X3) ) )
=> ! [X3] :
( ( sK2(X0,X1) = X3
& r3(X0,X1,X3) )
| ( sK2(X0,X1) != X3
& ~ r3(X0,X1,X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0,X1,X3] :
( ( sK2(X0,X1) = X3
& r3(X0,X1,X3) )
| ( sK2(X0,X1) != X3
& ~ r3(X0,X1,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f15,f30]) ).
fof(f55,plain,
! [X1] :
( r1(X1)
| sK0 != X1 ),
inference(cnf_transformation,[],[f27]) ).
fof(f59,plain,
! [X2,X0] :
( r2(X0,X2)
| sK1(X0) != X2 ),
inference(cnf_transformation,[],[f29]) ).
fof(f63,plain,
! [X3,X0,X1] :
( r3(X0,X1,X3)
| sK2(X0,X1) != X3 ),
inference(cnf_transformation,[],[f31]) ).
fof(f93,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2(X5,X4)
| ~ r1(X5)
| ~ r2(X4,X3)
| ~ r3(X0,X3,X2)
| X1 != X2 ),
inference(cnf_transformation,[],[f25]) ).
fof(f98,plain,
r1(sK0),
inference(equality_resolution,[],[f55]) ).
fof(f100,plain,
! [X0] : r2(X0,sK1(X0)),
inference(equality_resolution,[],[f59]) ).
fof(f102,plain,
! [X0,X1] : r3(X0,X1,sK2(X0,X1)),
inference(equality_resolution,[],[f63]) ).
fof(f107,plain,
! [X2,X3,X0,X4,X5] :
( ~ r2(X5,X4)
| ~ r1(X5)
| ~ r2(X4,X3)
| ~ r3(X0,X3,X2) ),
inference(equality_resolution,[],[f93]) ).
cnf(c_50,plain,
r1(sK0),
inference(cnf_transformation,[],[f98]) ).
cnf(c_52,plain,
r2(X0,sK1(X0)),
inference(cnf_transformation,[],[f100]) ).
cnf(c_54,plain,
r3(X0,X1,sK2(X0,X1)),
inference(cnf_transformation,[],[f102]) ).
cnf(c_77,negated_conjecture,
( ~ r3(X0,X1,X2)
| ~ r2(X3,X4)
| ~ r2(X4,X1)
| ~ r1(X3) ),
inference(cnf_transformation,[],[f107]) ).
cnf(c_271,plain,
( sK2(X1,X3) != X4
| X0 != X1
| X2 != X3
| ~ r2(X5,X6)
| ~ r2(X6,X2)
| ~ r1(X5) ),
inference(resolution_lifted,[status(thm)],[c_77,c_54]) ).
cnf(c_272,plain,
( ~ r2(X0,X1)
| ~ r2(X1,X2)
| ~ r1(X0) ),
inference(unflattening,[status(thm)],[c_271]) ).
cnf(c_982,plain,
( ~ r2(X0,X1)
| ~ r1(X0) ),
inference(superposition,[status(thm)],[c_52,c_272]) ).
cnf(c_989,plain,
~ r1(X0),
inference(superposition,[status(thm)],[c_52,c_982]) ).
cnf(c_990,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_50,c_989]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUN080+2 : TPTP v8.1.2. Released v7.3.0.
% 0.08/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 21:42:29 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.49/1.17 % SZS status Started for theBenchmark.p
% 0.49/1.17 % SZS status Theorem for theBenchmark.p
% 0.49/1.17
% 0.49/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.49/1.17
% 0.49/1.17 ------ iProver source info
% 0.49/1.17
% 0.49/1.17 git: date: 2024-05-02 19:28:25 +0000
% 0.49/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.49/1.17 git: non_committed_changes: false
% 0.49/1.17
% 0.49/1.17 ------ Parsing...
% 0.49/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.49/1.17
% 0.49/1.17 ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 2 sf_s rm: 3 0s sf_e pe_s pe_e
% 0.49/1.17
% 0.49/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.49/1.17
% 0.49/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.49/1.17 ------ Proving...
% 0.49/1.17 ------ Problem Properties
% 0.49/1.17
% 0.49/1.17
% 0.49/1.17 clauses 25
% 0.49/1.17 conjectures 0
% 0.49/1.17 EPR 5
% 0.49/1.17 Horn 21
% 0.49/1.17 unary 16
% 0.49/1.17 binary 7
% 0.49/1.17 lits 36
% 0.49/1.17 lits eq 15
% 0.49/1.17 fd_pure 0
% 0.49/1.17 fd_pseudo 0
% 0.49/1.17 fd_cond 1
% 0.49/1.17 fd_pseudo_cond 2
% 0.49/1.17 AC symbols 0
% 0.49/1.17
% 0.49/1.17 ------ Schedule dynamic 5 is on
% 0.49/1.17
% 0.49/1.17 ------ no conjectures: strip conj schedule
% 0.49/1.17
% 0.49/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 0.49/1.17
% 0.49/1.17
% 0.49/1.17 ------
% 0.49/1.17 Current options:
% 0.49/1.17 ------
% 0.49/1.17
% 0.49/1.17
% 0.49/1.17
% 0.49/1.17
% 0.49/1.17 ------ Proving...
% 0.49/1.17
% 0.49/1.17
% 0.49/1.17 % SZS status Theorem for theBenchmark.p
% 0.49/1.17
% 0.49/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.49/1.17
% 0.49/1.17
%------------------------------------------------------------------------------