TSTP Solution File: SET103-6 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET103-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 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 14:33:18 EDT 2024
% Result : Unsatisfiable 7.86s 1.71s
% Output : CNFRefutation 7.86s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
unordered_pair(singleton(x),unordered_pair(x,null_class)) != ordered_pair(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_1_of_ordered_pair_1) ).
cnf(c_50,negated_conjecture,
~ member(y,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_1_of_ordered_pair_2) ).
cnf(c_58,plain,
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
cnf(c_61,plain,
member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pairs_in_universal) ).
cnf(c_62,plain,
unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(c_63,plain,
unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',ordered_pair) ).
cnf(c_104,plain,
( ~ member(X0,universal_class)
| member(sum_class(X0),universal_class) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',sum_class2) ).
cnf(c_115,plain,
( ~ member(X0,universal_class)
| ~ function(X1)
| member(image(X1,X0),universal_class) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',replacement) ).
cnf(c_118,plain,
sum_class(image(X0,singleton(X1))) = apply(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',apply) ).
cnf(c_119,plain,
function(choice),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',choice1) ).
cnf(c_120,plain,
( ~ member(X0,universal_class)
| X0 = null_class
| member(apply(choice,X0),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',choice2) ).
cnf(c_2695,plain,
singleton(x) = sP0_iProver_def,
definition ).
cnf(c_2696,plain,
unordered_pair(x,null_class) = sP1_iProver_def,
definition ).
cnf(c_2697,plain,
unordered_pair(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_2698,plain,
ordered_pair(x,y) = sP3_iProver_def,
definition ).
cnf(c_2699,negated_conjecture,
~ member(y,universal_class),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_2700,negated_conjecture,
sP2_iProver_def != sP3_iProver_def,
inference(demodulation,[status(thm)],[c_49,c_2698,c_2696,c_2695,c_2697]) ).
cnf(c_3683,plain,
member(singleton(X0),universal_class),
inference(superposition,[status(thm)],[c_62,c_61]) ).
cnf(c_3926,plain,
( ~ member(image(X0,singleton(X1)),universal_class)
| member(apply(X0,X1),universal_class) ),
inference(superposition,[status(thm)],[c_118,c_104]) ).
cnf(c_4527,plain,
unordered_pair(sP0_iProver_def,unordered_pair(x,singleton(X0))) = ordered_pair(x,X0),
inference(superposition,[status(thm)],[c_2695,c_63]) ).
cnf(c_5004,plain,
( ~ member(X0,singleton(X1))
| X0 = X1 ),
inference(superposition,[status(thm)],[c_62,c_58]) ).
cnf(c_5122,plain,
( ~ member(singleton(X0),universal_class)
| apply(choice,singleton(X0)) = X0
| singleton(X0) = null_class ),
inference(superposition,[status(thm)],[c_120,c_5004]) ).
cnf(c_5140,plain,
( apply(choice,singleton(X0)) = X0
| singleton(X0) = null_class ),
inference(forward_subsumption_resolution,[status(thm)],[c_5122,c_3683]) ).
cnf(c_13196,plain,
( ~ member(singleton(X0),universal_class)
| ~ function(X1)
| member(apply(X1,X0),universal_class) ),
inference(superposition,[status(thm)],[c_115,c_3926]) ).
cnf(c_13202,plain,
( ~ function(X0)
| member(apply(X0,X1),universal_class) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13196,c_3683]) ).
cnf(c_13223,plain,
( ~ function(choice)
| singleton(X0) = null_class
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_5140,c_13202]) ).
cnf(c_13229,plain,
( singleton(X0) = null_class
| member(X0,universal_class) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13223,c_119]) ).
cnf(c_13652,plain,
singleton(y) = null_class,
inference(superposition,[status(thm)],[c_13229,c_2699]) ).
cnf(c_13719,plain,
unordered_pair(sP0_iProver_def,unordered_pair(x,null_class)) = ordered_pair(x,y),
inference(superposition,[status(thm)],[c_13652,c_4527]) ).
cnf(c_13758,plain,
sP2_iProver_def = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_13719,c_2696,c_2697,c_2698]) ).
cnf(c_13759,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_13758,c_2700]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET103-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Jun 23 13:13:24 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.22/0.48 Running first-order theorem proving
% 0.22/0.48 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
% 7.86/1.71 % SZS status Started for theBenchmark.p
% 7.86/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 7.86/1.71
% 7.86/1.71 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.86/1.71
% 7.86/1.71 ------ iProver source info
% 7.86/1.71
% 7.86/1.71 git: date: 2024-06-12 09:56:46 +0000
% 7.86/1.71 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 7.86/1.71 git: non_committed_changes: false
% 7.86/1.71
% 7.86/1.71 ------ Parsing...successful
% 7.86/1.71
% 7.86/1.71
% 7.86/1.71
% 7.86/1.71 ------ 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
% 7.86/1.71
% 7.86/1.71 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.86/1.71
% 7.86/1.71 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.86/1.71 ------ Proving...
% 7.86/1.71 ------ Problem Properties
% 7.86/1.71
% 7.86/1.71
% 7.86/1.71 clauses 89
% 7.86/1.71 conjectures 2
% 7.86/1.71 EPR 14
% 7.86/1.71 Horn 81
% 7.86/1.71 unary 37
% 7.86/1.71 binary 32
% 7.86/1.71 lits 167
% 7.86/1.71 lits eq 41
% 7.86/1.71 fd_pure 0
% 7.86/1.71 fd_pseudo 0
% 7.86/1.71 fd_cond 3
% 7.86/1.71 fd_pseudo_cond 3
% 7.86/1.71 AC symbols 0
% 7.86/1.71
% 7.86/1.71 ------ Schedule dynamic 5 is on
% 7.86/1.71
% 7.86/1.71 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.86/1.71
% 7.86/1.71
% 7.86/1.71 ------
% 7.86/1.71 Current options:
% 7.86/1.71 ------
% 7.86/1.71
% 7.86/1.71
% 7.86/1.71
% 7.86/1.71
% 7.86/1.71 ------ Proving...
% 7.86/1.71
% 7.86/1.71
% 7.86/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 7.86/1.71
% 7.86/1.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.86/1.71
% 7.86/1.71
%------------------------------------------------------------------------------