TSTP Solution File: NUM843+2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM843+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n017.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 02:50:52 EDT 2024
% Result : Theorem 2.82s 0.98s
% Output : CNFRefutation 2.82s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f135)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ greater(vd390,vd391),
inference(cnf_transformation,[],[f134]) ).
cnf(c_50,plain,
~ leq(vd390,vd391),
inference(cnf_transformation,[],[f135]) ).
cnf(c_74,plain,
( ~ greater(X0,X1)
| geq(X0,X1) ),
inference(cnf_transformation,[],[f160]) ).
cnf(c_76,plain,
( ~ less(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f162]) ).
cnf(c_77,plain,
( ~ greater(X0,X1)
| less(X1,X0) ),
inference(cnf_transformation,[],[f163]) ).
cnf(c_78,plain,
( X0 = X1
| greater(X0,X1)
| less(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
cnf(c_753,negated_conjecture,
~ greater(vd390,vd391),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_1343,plain,
( X0 = X1
| greater(X0,X1)
| greater(X1,X0) ),
inference(superposition,[status(thm)],[c_78,c_76]) ).
cnf(c_1481,plain,
( vd390 = vd391
| greater(vd391,vd390) ),
inference(superposition,[status(thm)],[c_1343,c_753]) ).
cnf(c_1515,plain,
( vd390 = vd391
| less(vd390,vd391) ),
inference(superposition,[status(thm)],[c_1481,c_77]) ).
cnf(c_1516,plain,
( vd390 = vd391
| geq(vd391,vd390) ),
inference(superposition,[status(thm)],[c_1481,c_74]) ).
fof(f18,axiom,
! [X26,X27,X28] :
( ( ( less(X26,X27)
& leq(X27,X28) )
| ( leq(X26,X27)
& less(X27,X28) ) )
=> less(X26,X28) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(177), 0), 0)') ).
fof(f152,plain,
! [X2,X0,X1] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ leq(X1,X2) ),
inference(cnf_transformation,[],[f105]) ).
fof(f22,axiom,
! [X36,X37] :
( leq(X37,X36)
<=> ( X36 = X37
| less(X37,X36) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 17), 1)') ).
fof(f157,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ less(X1,X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ( ( less(X0,X1)
& leq(X1,X2) )
| ( leq(X0,X1)
& less(X1,X2) ) )
=> less(X0,X2) ),
inference(rectify,[],[f18]) ).
fof(f65,plain,
! [X0,X1] :
( leq(X1,X0)
<=> ( X0 = X1
| less(X1,X0) ) ),
inference(rectify,[],[f22]) ).
fof(f105,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ( ( ~ less(X0,X1)
| ~ leq(X1,X2) )
& ( ~ leq(X0,X1)
| ~ less(X1,X2) ) ) ),
inference(ennf_transformation,[],[f61]) ).
fof(f19,axiom,
! [X29,X30,X31] :
( ( less(X29,X30)
& less(X30,X31) )
=> less(X29,X31) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(168, 0), 0)') ).
fof(f151,plain,
! [X2,X0,X1] :
( less(X0,X2)
| ~ leq(X0,X1)
| ~ less(X1,X2) ),
inference(cnf_transformation,[],[f105]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ( less(X0,X1)
& less(X1,X2) )
=> less(X0,X2) ),
inference(rectify,[],[f19]) ).
fof(f106,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ less(X1,X2) ),
inference(ennf_transformation,[],[f62]) ).
fof(f107,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ less(X1,X2) ),
inference(flattening,[],[f106]) ).
fof(f20,axiom,
! [X32,X33] :
( leq(X32,X33)
=> geq(X33,X32) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(163, 0), 0)') ).
fof(f153,plain,
! [X2,X0,X1] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ less(X1,X2) ),
inference(cnf_transformation,[],[f107]) ).
fof(f63,plain,
! [X0,X1] :
( leq(X0,X1)
=> geq(X1,X0) ),
inference(rectify,[],[f20]) ).
fof(f108,plain,
! [X0,X1] :
( geq(X1,X0)
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f63]) ).
fof(f21,axiom,
! [X34,X35] :
( geq(X34,X35)
=> leq(X35,X34) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(158, 0), 0)') ).
fof(f154,plain,
! [X0,X1] :
( geq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f64,plain,
! [X0,X1] :
( geq(X0,X1)
=> leq(X1,X0) ),
inference(rectify,[],[f21]) ).
fof(f109,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ geq(X0,X1) ),
inference(ennf_transformation,[],[f64]) ).
fof(f119,plain,
! [X0,X1] :
( ( leq(X1,X0)
| ( X0 != X1
& ~ less(X1,X0) ) )
& ( X0 = X1
| less(X1,X0)
| ~ leq(X1,X0) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f120,plain,
! [X0,X1] :
( ( leq(X1,X0)
| ( X0 != X1
& ~ less(X1,X0) ) )
& ( X0 = X1
| less(X1,X0)
| ~ leq(X1,X0) ) ),
inference(flattening,[],[f119]) ).
fof(f155,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ geq(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f158,plain,
! [X0,X1] :
( leq(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f120]) ).
fof(f198,plain,
! [X1] : leq(X1,X1),
inference(equality_resolution,[],[f158]) ).
cnf(c_69,plain,
( ~ geq(X0,X1)
| leq(X1,X0) ),
inference(cnf_transformation,[],[f155]) ).
cnf(c_70,plain,
leq(X0,X0),
inference(cnf_transformation,[],[f198]) ).
cnf(c_1548,plain,
( ~ geq(vd391,vd390)
| leq(vd390,vd391) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_1747,plain,
vd390 = vd391,
inference(global_subsumption_just,[status(thm)],[c_1515,c_50,c_1516,c_1548]) ).
cnf(c_1754,plain,
~ leq(vd390,vd390),
inference(demodulation,[status(thm)],[c_50,c_1747]) ).
cnf(c_1756,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1754,c_70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : NUM843+2 : TPTP v8.1.2. Released v4.1.0.
% 0.02/0.10 % Command : run_iprover %s %d THM
% 0.09/0.30 % Computer : n017.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Thu May 2 19:13:06 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.14/0.37 Running first-order theorem proving
% 0.14/0.37 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
% 2.82/0.98 % SZS status Started for theBenchmark.p
% 2.82/0.98 % SZS status Theorem for theBenchmark.p
% 2.82/0.98
% 2.82/0.98 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.82/0.98
% 2.82/0.98 ------ iProver source info
% 2.82/0.98
% 2.82/0.98 git: date: 2024-05-02 19:28:25 +0000
% 2.82/0.98 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.82/0.98 git: non_committed_changes: false
% 2.82/0.98
% 2.82/0.98 ------ Parsing...
% 2.82/0.98 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.82/0.98
% 2.82/0.98 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 2.82/0.98
% 2.82/0.98 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.82/0.98
% 2.82/0.98 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.82/0.98 ------ Proving...
% 2.82/0.98 ------ Problem Properties
% 2.82/0.98
% 2.82/0.98
% 2.82/0.98 clauses 43
% 2.82/0.98 conjectures 1
% 2.82/0.98 EPR 21
% 2.82/0.98 Horn 38
% 2.82/0.98 unary 14
% 2.82/0.98 binary 17
% 2.82/0.98 lits 84
% 2.82/0.98 lits eq 18
% 2.82/0.98 fd_pure 0
% 2.82/0.98 fd_pseudo 0
% 2.82/0.98 fd_cond 0
% 2.82/0.98 fd_pseudo_cond 5
% 2.82/0.98 AC symbols 1
% 2.82/0.98
% 2.82/0.98 ------ Schedule dynamic 5 is on
% 2.82/0.98
% 2.82/0.98 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.82/0.98
% 2.82/0.98
% 2.82/0.98 ------
% 2.82/0.98 Current options:
% 2.82/0.98 ------
% 2.82/0.98
% 2.82/0.98
% 2.82/0.98
% 2.82/0.98
% 2.82/0.98 ------ Proving...
% 2.82/0.98
% 2.82/0.98
% 2.82/0.98 % SZS status Theorem for theBenchmark.p
% 2.82/0.98
% 2.82/0.98 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.82/0.98
% 2.82/0.98
%------------------------------------------------------------------------------