TSTP Solution File: SET031-4 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET031-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 02:59:28 EDT 2024
% Result : Unsatisfiable 57.49s 8.70s
% Output : CNFRefutation 57.49s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ relation(compose(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_composition_is_a_relation) ).
cnf(c_63,plain,
( ordered_pair(X0,X1) != X2
| ~ little_set(X0)
| ~ little_set(X1)
| ordered_pair_predicate(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',ordered_pair_predicate4) ).
cnf(c_68,plain,
( ordered_pair(X0,X1) != X2
| ~ member(X3,X0)
| ~ little_set(X0)
| ~ little_set(X1)
| member(X3,first(X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',first5) ).
cnf(c_126,plain,
( member(f18(X0),X0)
| relation(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',relation2) ).
cnf(c_127,plain,
( ~ ordered_pair_predicate(f18(X0))
| relation(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',relation3) ).
cnf(c_177,plain,
( ~ member(X0,compose(X1,X2))
| little_set(f29(X0,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',compose1) ).
cnf(c_178,plain,
( ~ member(X0,compose(X1,X2))
| little_set(f30(X0,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',compose2) ).
cnf(c_180,plain,
( ~ member(X0,compose(X1,X2))
| ordered_pair(f29(X0,X1,X2),f30(X0,X1,X2)) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',compose4) ).
cnf(c_194,plain,
( ~ little_set(X0)
| ~ little_set(X1)
| ordered_pair_predicate(ordered_pair(X0,X1)) ),
inference(unflattening,[status(thm)],[c_63]) ).
cnf(c_199,plain,
( ~ member(X0,X1)
| ~ little_set(X1)
| ~ little_set(X2)
| member(X0,first(ordered_pair(X1,X2))) ),
inference(unflattening,[status(thm)],[c_68]) ).
cnf(c_9369,plain,
compose(a,b) = sP0_iProver_def,
definition ).
cnf(c_9370,negated_conjecture,
~ relation(sP0_iProver_def),
inference(demodulation,[status(thm)],[c_49,c_9369]) ).
cnf(c_11746,plain,
( ~ ordered_pair_predicate(f18(sP0_iProver_def))
| relation(sP0_iProver_def) ),
inference(instantiation,[status(thm)],[c_127]) ).
cnf(c_11757,plain,
( member(f18(sP0_iProver_def),sP0_iProver_def)
| relation(sP0_iProver_def) ),
inference(instantiation,[status(thm)],[c_126]) ).
cnf(c_67873,plain,
( ~ member(X0,sP0_iProver_def)
| little_set(f29(X0,a,b)) ),
inference(superposition,[status(thm)],[c_9369,c_177]) ).
cnf(c_67924,plain,
( ~ member(X0,sP0_iProver_def)
| little_set(f30(X0,a,b)) ),
inference(superposition,[status(thm)],[c_9369,c_178]) ).
cnf(c_71795,plain,
( ordered_pair(f29(f18(compose(X0,X1)),X0,X1),f30(f18(compose(X0,X1)),X0,X1)) = f18(compose(X0,X1))
| relation(compose(X0,X1)) ),
inference(superposition,[status(thm)],[c_126,c_180]) ).
cnf(c_122766,plain,
( ordered_pair(f29(f18(compose(a,b)),a,b),f30(f18(compose(a,b)),a,b)) = f18(compose(a,b))
| relation(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_9369,c_71795]) ).
cnf(c_122769,plain,
( ordered_pair(f29(f18(sP0_iProver_def),a,b),f30(f18(sP0_iProver_def),a,b)) = f18(sP0_iProver_def)
| relation(sP0_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_122766,c_9369]) ).
cnf(c_122770,plain,
ordered_pair(f29(f18(sP0_iProver_def),a,b),f30(f18(sP0_iProver_def),a,b)) = f18(sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_122769,c_9370]) ).
cnf(c_123667,plain,
( ~ little_set(f29(f18(sP0_iProver_def),a,b))
| ~ little_set(f30(f18(sP0_iProver_def),a,b))
| ordered_pair_predicate(f18(sP0_iProver_def)) ),
inference(superposition,[status(thm)],[c_122770,c_194]) ).
cnf(c_123668,plain,
( ~ member(X0,f29(f18(sP0_iProver_def),a,b))
| ~ little_set(f29(f18(sP0_iProver_def),a,b))
| ~ little_set(f30(f18(sP0_iProver_def),a,b))
| member(X0,first(f18(sP0_iProver_def))) ),
inference(superposition,[status(thm)],[c_122770,c_199]) ).
cnf(c_124282,plain,
( ~ little_set(f30(f18(sP0_iProver_def),a,b))
| ~ little_set(f29(f18(sP0_iProver_def),a,b)) ),
inference(global_subsumption_just,[status(thm)],[c_123667,c_9370,c_11746,c_123667]) ).
cnf(c_124283,plain,
( ~ little_set(f29(f18(sP0_iProver_def),a,b))
| ~ little_set(f30(f18(sP0_iProver_def),a,b)) ),
inference(renaming,[status(thm)],[c_124282]) ).
cnf(c_124290,plain,
( ~ little_set(f30(f18(sP0_iProver_def),a,b))
| ~ member(f18(sP0_iProver_def),sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_67873,c_124283]) ).
cnf(c_124315,plain,
~ little_set(f30(f18(sP0_iProver_def),a,b)),
inference(global_subsumption_just,[status(thm)],[c_123668,c_9370,c_11757,c_124290]) ).
cnf(c_124319,plain,
~ member(f18(sP0_iProver_def),sP0_iProver_def),
inference(superposition,[status(thm)],[c_67924,c_124315]) ).
cnf(c_124320,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_124319,c_11757,c_9370]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SET031-4 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n020.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 20:16:01 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 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
% 57.49/8.70 % SZS status Started for theBenchmark.p
% 57.49/8.70 % SZS status Unsatisfiable for theBenchmark.p
% 57.49/8.70
% 57.49/8.70 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 57.49/8.70
% 57.49/8.70 ------ iProver source info
% 57.49/8.70
% 57.49/8.70 git: date: 2024-05-02 19:28:25 +0000
% 57.49/8.70 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 57.49/8.70 git: non_committed_changes: false
% 57.49/8.70
% 57.49/8.70 ------ Parsing...successful
% 57.49/8.70
% 57.49/8.70
% 57.49/8.70
% 57.49/8.70 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 57.49/8.70
% 57.49/8.70 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 57.49/8.70
% 57.49/8.70 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 57.49/8.70 ------ Proving...
% 57.49/8.70 ------ Problem Properties
% 57.49/8.70
% 57.49/8.70
% 57.49/8.70 clauses 137
% 57.49/8.70 conjectures 1
% 57.49/8.70 EPR 21
% 57.49/8.70 Horn 118
% 57.49/8.70 unary 13
% 57.49/8.70 binary 89
% 57.49/8.70 lits 330
% 57.49/8.70 lits eq 33
% 57.49/8.70 fd_pure 0
% 57.49/8.70 fd_pseudo 0
% 57.49/8.70 fd_cond 4
% 57.49/8.70 fd_pseudo_cond 6
% 57.49/8.70 AC symbols 0
% 57.49/8.70
% 57.49/8.70 ------ Schedule dynamic 5 is on
% 57.49/8.70
% 57.49/8.70 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 57.49/8.70
% 57.49/8.70
% 57.49/8.70 ------
% 57.49/8.70 Current options:
% 57.49/8.70 ------
% 57.49/8.70
% 57.49/8.70
% 57.49/8.70
% 57.49/8.70
% 57.49/8.70 ------ Proving...
% 57.49/8.70
% 57.49/8.70
% 57.49/8.70 % SZS status Unsatisfiable for theBenchmark.p
% 57.49/8.70
% 57.49/8.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 57.49/8.70
% 57.49/8.70
%------------------------------------------------------------------------------