TSTP Solution File: SET108-6 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET108-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 14:33:20 EDT 2024
% Result : Unsatisfiable 3.31s 0.94s
% Output : CNFRefutation 3.31s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
member(ordered_pair(y,z),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_existence_of_1st_and_2nd_1_1) ).
cnf(c_50,negated_conjecture,
~ member(ordered_pair(first(ordered_pair(y,z)),second(ordered_pair(y,z))),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_existence_of_1st_and_2nd_1_2) ).
cnf(c_64,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product1) ).
cnf(c_65,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_66,plain,
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product3) ).
cnf(c_67,plain,
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product4) ).
cnf(c_2693,plain,
ordered_pair(y,z) = sP0_iProver_def,
definition ).
cnf(c_2694,plain,
first(sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_2695,plain,
second(sP0_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_2696,plain,
ordered_pair(sP1_iProver_def,sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_2697,plain,
cross_product(universal_class,universal_class) = sP4_iProver_def,
definition ).
cnf(c_2698,negated_conjecture,
~ member(sP3_iProver_def,sP4_iProver_def),
inference(demodulation,[status(thm)],[c_50,c_2697,c_2695,c_2693,c_2694,c_2696]) ).
cnf(c_2699,negated_conjecture,
member(sP0_iProver_def,sP4_iProver_def),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_3731,plain,
( ~ member(ordered_pair(X0,X1),sP4_iProver_def)
| member(X1,universal_class) ),
inference(superposition,[status(thm)],[c_2697,c_65]) ).
cnf(c_3738,plain,
( ~ member(ordered_pair(X0,X1),sP4_iProver_def)
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_2697,c_64]) ).
cnf(c_3754,plain,
( ~ member(sP0_iProver_def,sP4_iProver_def)
| member(z,universal_class) ),
inference(superposition,[status(thm)],[c_2693,c_3731]) ).
cnf(c_3764,plain,
( ~ member(sP0_iProver_def,sP4_iProver_def)
| member(y,universal_class) ),
inference(superposition,[status(thm)],[c_2693,c_3738]) ).
cnf(c_3855,plain,
( ~ member(y,X0)
| ~ member(z,X1)
| member(sP0_iProver_def,cross_product(X0,X1)) ),
inference(superposition,[status(thm)],[c_2693,c_66]) ).
cnf(c_3921,plain,
( ~ member(y,X0)
| ~ member(z,X1)
| ordered_pair(first(sP0_iProver_def),second(sP0_iProver_def)) = sP0_iProver_def ),
inference(superposition,[status(thm)],[c_3855,c_67]) ).
cnf(c_3924,plain,
( ~ member(y,universal_class)
| ~ member(z,universal_class)
| ordered_pair(first(sP0_iProver_def),second(sP0_iProver_def)) = sP0_iProver_def ),
inference(instantiation,[status(thm)],[c_3921]) ).
cnf(c_3992,plain,
ordered_pair(first(sP0_iProver_def),second(sP0_iProver_def)) = sP0_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_3921,c_2699,c_3754,c_3764,c_3924]) ).
cnf(c_3994,plain,
sP0_iProver_def = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_3992,c_2694,c_2695,c_2696]) ).
cnf(c_3998,plain,
~ member(sP0_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_3994,c_2698]) ).
cnf(c_3999,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_2699,c_3998]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SET108-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.00/0.07 % Command : run_iprover %s %d THM
% 0.06/0.25 % Computer : n027.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Sun Jun 23 15:27:39 EDT 2024
% 0.06/0.25 % CPUTime :
% 0.10/0.33 Running first-order theorem proving
% 0.10/0.33 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
% 3.31/0.94 % SZS status Started for theBenchmark.p
% 3.31/0.94 % SZS status Unsatisfiable for theBenchmark.p
% 3.31/0.94
% 3.31/0.94 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.31/0.94
% 3.31/0.94 ------ iProver source info
% 3.31/0.94
% 3.31/0.94 git: date: 2024-06-12 09:56:46 +0000
% 3.31/0.94 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 3.31/0.94 git: non_committed_changes: false
% 3.31/0.94
% 3.31/0.94 ------ Parsing...successful
% 3.31/0.94
% 3.31/0.94
% 3.31/0.94
% 3.31/0.94 ------ 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
% 3.31/0.94
% 3.31/0.94 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.31/0.94
% 3.31/0.94 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.31/0.94 ------ Proving...
% 3.31/0.94 ------ Problem Properties
% 3.31/0.94
% 3.31/0.94
% 3.31/0.94 clauses 90
% 3.31/0.94 conjectures 2
% 3.31/0.94 EPR 14
% 3.31/0.94 Horn 82
% 3.31/0.94 unary 38
% 3.31/0.94 binary 32
% 3.31/0.94 lits 168
% 3.31/0.94 lits eq 41
% 3.31/0.94 fd_pure 0
% 3.31/0.94 fd_pseudo 0
% 3.31/0.94 fd_cond 3
% 3.31/0.94 fd_pseudo_cond 3
% 3.31/0.94 AC symbols 0
% 3.31/0.94
% 3.31/0.94 ------ Input Options Time Limit: Unbounded
% 3.31/0.94
% 3.31/0.94
% 3.31/0.94 ------
% 3.31/0.94 Current options:
% 3.31/0.94 ------
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% 3.31/0.94 ------ Proving...
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% 3.31/0.94 ------ Proving...
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% 3.31/0.94 ------ Proving...
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% 3.31/0.94 ------ Proving...
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% 3.31/0.94 ------ Proving...
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% 3.31/0.94 ------ Proving...
% 3.31/0.94
% 3.31/0.94
% 3.31/0.94 % SZS status Unsatisfiable for theBenchmark.p
% 3.31/0.94
% 3.31/0.94 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.31/0.94
% 3.31/0.94
%------------------------------------------------------------------------------