TSTP Solution File: SET231-6 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET231-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 14:34:11 EDT 2024
% Result : Unsatisfiable 4.14s 1.18s
% Output : CNFRefutation 4.14s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ subclass(cross_product(x,y),z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cross_product_property6_1) ).
cnf(c_50,negated_conjecture,
ordered_pair(first(not_subclass_element(cross_product(x,y),z)),second(not_subclass_element(cross_product(x,y),z))) != not_subclass_element(cross_product(x,y),z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cross_product_property6_2) ).
cnf(c_73,plain,
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(c_88,plain,
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product4) ).
cnf(c_3035,plain,
cross_product(x,y) = sP0_iProver_def,
definition ).
cnf(c_3036,plain,
not_subclass_element(sP0_iProver_def,z) = sP1_iProver_def,
definition ).
cnf(c_3037,plain,
first(sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_3038,plain,
second(sP1_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_3039,plain,
ordered_pair(sP2_iProver_def,sP3_iProver_def) = sP4_iProver_def,
definition ).
cnf(c_3040,negated_conjecture,
sP4_iProver_def != sP1_iProver_def,
inference(demodulation,[status(thm)],[c_50,c_3038,c_3035,c_3036,c_3037,c_3039]) ).
cnf(c_3041,negated_conjecture,
~ subclass(sP0_iProver_def,z),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_4216,plain,
( subclass(sP0_iProver_def,z)
| member(sP1_iProver_def,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_3036,c_73]) ).
cnf(c_4330,plain,
( subclass(sP0_iProver_def,z)
| member(sP1_iProver_def,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_3036,c_73]) ).
cnf(c_4380,plain,
( ~ member(X0,sP0_iProver_def)
| ordered_pair(first(X0),second(X0)) = X0 ),
inference(superposition,[status(thm)],[c_3035,c_88]) ).
cnf(c_4404,plain,
member(sP1_iProver_def,sP0_iProver_def),
inference(global_subsumption_just,[status(thm)],[c_4330,c_3041,c_4216]) ).
cnf(c_4468,plain,
ordered_pair(first(sP1_iProver_def),second(sP1_iProver_def)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_4404,c_4380]) ).
cnf(c_4665,plain,
sP1_iProver_def = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_4468,c_3037,c_3038,c_3039]) ).
cnf(c_4671,plain,
$false,
inference(superposition,[status(thm)],[c_4665,c_3040]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET231-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jun 23 13:16:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.14/1.18 % SZS status Started for theBenchmark.p
% 4.14/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 4.14/1.18
% 4.14/1.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.14/1.18
% 4.14/1.18 ------ iProver source info
% 4.14/1.18
% 4.14/1.18 git: date: 2024-06-12 09:56:46 +0000
% 4.14/1.18 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 4.14/1.18 git: non_committed_changes: false
% 4.14/1.18
% 4.14/1.18 ------ Parsing...successful
% 4.14/1.18
% 4.14/1.18
% 4.14/1.18
% 4.14/1.18 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e
% 4.14/1.18
% 4.14/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.14/1.18
% 4.14/1.18 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.14/1.18 ------ Proving...
% 4.14/1.18 ------ Problem Properties
% 4.14/1.18
% 4.14/1.18
% 4.14/1.18 clauses 107
% 4.14/1.18 conjectures 2
% 4.14/1.18 EPR 14
% 4.14/1.18 Horn 99
% 4.14/1.18 unary 46
% 4.14/1.18 binary 40
% 4.14/1.18 lits 195
% 4.14/1.18 lits eq 50
% 4.14/1.18 fd_pure 0
% 4.14/1.18 fd_pseudo 0
% 4.14/1.18 fd_cond 3
% 4.14/1.18 fd_pseudo_cond 7
% 4.14/1.18 AC symbols 0
% 4.14/1.18
% 4.14/1.18 ------ Input Options Time Limit: Unbounded
% 4.14/1.18
% 4.14/1.18
% 4.14/1.18 ------
% 4.14/1.18 Current options:
% 4.14/1.18 ------
% 4.14/1.18
% 4.14/1.18
% 4.14/1.18
% 4.14/1.18
% 4.14/1.18 ------ Proving...
% 4.14/1.18
% 4.14/1.18
% 4.14/1.18 ------ Proving...
% 4.14/1.18
% 4.14/1.18
% 4.14/1.18 ------ Proving...
% 4.14/1.18
% 4.14/1.18
% 4.14/1.18 ------ Proving...
% 4.14/1.18
% 4.14/1.18
% 4.14/1.18 ------ Proving...
% 4.14/1.18
% 4.14/1.18
% 4.14/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 4.14/1.18
% 4.14/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.14/1.18
% 4.14/1.18
%------------------------------------------------------------------------------