TSTP Solution File: SET120-7 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET120-7 : TPTP v8.2.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 : Mon Jun 24 14:33:24 EDT 2024
% Result : Unsatisfiable 7.83s 1.65s
% Output : CNFRefutation 7.83s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_51,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_1_to_cartesian_product) ).
cnf(c_118,plain,
( second(X0) = X0
| member(ordered_pair(first(X0),second(X0)),cross_product(universal_class,universal_class)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_1st_and_2nd_in_pair_of_non_sets2) ).
cnf(c_120,plain,
( ordered_pair(first(X0),second(X0)) = X0
| second(X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_1st_and_2nd_in_pair_of_non_sets4) ).
cnf(c_123,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_OP_determines_components1_1) ).
cnf(c_124,negated_conjecture,
second(ordered_pair(x,y)) != ordered_pair(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_OP_determines_components1_2) ).
cnf(c_139,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product2) ).
cnf(c_4578,plain,
ordered_pair(x,y) = sP0_iProver_def,
definition ).
cnf(c_4579,plain,
second(sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_4580,negated_conjecture,
sP1_iProver_def != sP0_iProver_def,
inference(demodulation,[status(thm)],[c_124,c_4578,c_4579]) ).
cnf(c_7727,plain,
( ~ member(sP0_iProver_def,cross_product(X0,X1))
| member(y,X1) ),
inference(superposition,[status(thm)],[c_4578,c_139]) ).
cnf(c_7880,plain,
( ~ member(sP0_iProver_def,cross_product(X0,X1))
| member(x,universal_class) ),
inference(superposition,[status(thm)],[c_4578,c_51]) ).
cnf(c_8451,plain,
( second(X0) = X0
| member(X0,cross_product(universal_class,universal_class)) ),
inference(superposition,[status(thm)],[c_120,c_118]) ).
cnf(c_11631,plain,
~ member(sP0_iProver_def,cross_product(X0,X1)),
inference(global_subsumption_just,[status(thm)],[c_7727,c_123,c_7880]) ).
cnf(c_21370,plain,
second(sP0_iProver_def) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_8451,c_11631]) ).
cnf(c_21376,plain,
sP0_iProver_def = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_4579,c_21370]) ).
cnf(c_21378,plain,
sP0_iProver_def != sP0_iProver_def,
inference(demodulation,[status(thm)],[c_4580,c_21376]) ).
cnf(c_21379,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_21378]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET120-7 : TPTP v8.2.0. Bugfixed v7.3.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n021.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sun Jun 23 17:43:54 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 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
% 7.83/1.65 % SZS status Started for theBenchmark.p
% 7.83/1.65 % SZS status Unsatisfiable for theBenchmark.p
% 7.83/1.65
% 7.83/1.65 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.83/1.65
% 7.83/1.65 ------ iProver source info
% 7.83/1.65
% 7.83/1.65 git: date: 2024-06-12 09:56:46 +0000
% 7.83/1.65 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 7.83/1.65 git: non_committed_changes: false
% 7.83/1.65
% 7.83/1.65 ------ Parsing...successful
% 7.83/1.65
% 7.83/1.65
% 7.83/1.65
% 7.83/1.65 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 7.83/1.65
% 7.83/1.65 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.83/1.65
% 7.83/1.65 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.83/1.65 ------ Proving...
% 7.83/1.65 ------ Problem Properties
% 7.83/1.65
% 7.83/1.65
% 7.83/1.65 clauses 155
% 7.83/1.65 conjectures 2
% 7.83/1.65 EPR 19
% 7.83/1.65 Horn 124
% 7.83/1.65 unary 49
% 7.83/1.65 binary 66
% 7.83/1.65 lits 308
% 7.83/1.65 lits eq 102
% 7.83/1.65 fd_pure 0
% 7.83/1.65 fd_pseudo 0
% 7.83/1.65 fd_cond 5
% 7.83/1.65 fd_pseudo_cond 16
% 7.83/1.65 AC symbols 0
% 7.83/1.65
% 7.83/1.65 ------ Input Options Time Limit: Unbounded
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% 7.83/1.65
% 7.83/1.65 ------
% 7.83/1.65 Current options:
% 7.83/1.65 ------
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% 7.83/1.65 ------ Proving...
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% 7.83/1.65 ------ Proving...
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% 7.83/1.65 ------ Proving...
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% 7.83/1.65 ------ Proving...
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% 7.83/1.65 ------ Proving...
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% 7.83/1.65
% 7.83/1.65 % SZS status Unsatisfiable for theBenchmark.p
% 7.83/1.65
% 7.83/1.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.83/1.65
% 7.83/1.65
%------------------------------------------------------------------------------