TSTP Solution File: SET038-3 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET038-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 02:59:29 EDT 2024
% Result : Unsatisfiable 31.74s 5.20s
% Output : CNFRefutation 31.74s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_54,plain,
( ~ little_set(X0)
| ~ little_set(X1)
| second(ordered_pair(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_second) ).
cnf(c_56,plain,
( ~ ordered_pair_predicate(X0)
| little_set(second(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',second_component_is_small) ).
cnf(c_63,plain,
( ~ function(X0)
| little_set(apply(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',function_values_are_small) ).
cnf(c_70,plain,
( apply(X0,X1) != X2
| ~ member(X1,domain_of(X0))
| ~ function(X0)
| member(ordered_pair(X1,X2),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apply_for_functions2) ).
cnf(c_71,plain,
maps(a_function,a_domain,a_range),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_mapping) ).
cnf(c_72,plain,
member(a,a_domain),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_domain) ).
cnf(c_73,negated_conjecture,
~ member(apply(a_function,a),a_range),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_mapping_in_range) ).
cnf(c_74,plain,
( ~ member(X0,X1)
| little_set(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',a2) ).
cnf(c_140,plain,
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',subset1) ).
cnf(c_149,plain,
( ~ member(X0,X1)
| ~ relation(X1)
| ordered_pair_predicate(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',relation1) ).
cnf(c_159,plain,
( ~ function(X0)
| relation(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',function1) ).
cnf(c_179,plain,
( second(X0) != X1
| ~ member(X0,X2)
| ~ little_set(X1)
| ~ ordered_pair_predicate(X0)
| member(X1,range_of(X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',range_of4) ).
cnf(c_193,plain,
( ~ maps(X0,X1,X2)
| function(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',maps1) ).
cnf(c_194,plain,
( ~ maps(X0,X1,X2)
| domain_of(X0) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',maps2) ).
cnf(c_195,plain,
( ~ maps(X0,X1,X2)
| subset(range_of(X0),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',maps3) ).
cnf(c_220,plain,
( ~ member(X0,X1)
| ~ little_set(second(X0))
| ~ ordered_pair_predicate(X0)
| member(second(X0),range_of(X1)) ),
inference(unflattening,[status(thm)],[c_179]) ).
cnf(c_222,plain,
( ~ member(X0,domain_of(X1))
| ~ function(X1)
| member(ordered_pair(X0,apply(X1,X0)),X1) ),
inference(unflattening,[status(thm)],[c_70]) ).
cnf(c_378,plain,
( ~ member(X0,X1)
| ~ ordered_pair_predicate(X0)
| member(second(X0),range_of(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_220,c_56,c_220]) ).
cnf(c_8646,plain,
apply(a_function,a) = sP0_iProver_def,
definition ).
cnf(c_8647,negated_conjecture,
~ member(sP0_iProver_def,a_range),
inference(demodulation,[status(thm)],[c_73,c_8646]) ).
cnf(c_10503,plain,
little_set(a),
inference(superposition,[status(thm)],[c_72,c_74]) ).
cnf(c_10586,plain,
( ~ function(a_function)
| little_set(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_8646,c_63]) ).
cnf(c_10609,plain,
function(a_function),
inference(superposition,[status(thm)],[c_71,c_193]) ).
cnf(c_10610,plain,
little_set(sP0_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_10586,c_10609]) ).
cnf(c_10612,plain,
relation(a_function),
inference(superposition,[status(thm)],[c_10609,c_159]) ).
cnf(c_12072,plain,
subset(range_of(a_function),a_range),
inference(superposition,[status(thm)],[c_71,c_195]) ).
cnf(c_13010,plain,
domain_of(a_function) = a_domain,
inference(superposition,[status(thm)],[c_71,c_194]) ).
cnf(c_13433,plain,
( ~ member(X0,range_of(a_function))
| member(X0,a_range) ),
inference(superposition,[status(thm)],[c_12072,c_140]) ).
cnf(c_17637,plain,
( ~ little_set(X0)
| second(ordered_pair(a,X0)) = X0 ),
inference(superposition,[status(thm)],[c_10503,c_54]) ).
cnf(c_21164,plain,
( ~ member(a,domain_of(a_function))
| ~ function(a_function)
| member(ordered_pair(a,sP0_iProver_def),a_function) ),
inference(superposition,[status(thm)],[c_8646,c_222]) ).
cnf(c_21214,plain,
( ~ member(a,a_domain)
| ~ function(a_function)
| member(ordered_pair(a,sP0_iProver_def),a_function) ),
inference(light_normalisation,[status(thm)],[c_21164,c_13010]) ).
cnf(c_21215,plain,
member(ordered_pair(a,sP0_iProver_def),a_function),
inference(forward_subsumption_resolution,[status(thm)],[c_21214,c_10609,c_72]) ).
cnf(c_21772,plain,
( ~ relation(a_function)
| ordered_pair_predicate(ordered_pair(a,sP0_iProver_def)) ),
inference(superposition,[status(thm)],[c_21215,c_149]) ).
cnf(c_21774,plain,
ordered_pair_predicate(ordered_pair(a,sP0_iProver_def)),
inference(forward_subsumption_resolution,[status(thm)],[c_21772,c_10612]) ).
cnf(c_62806,plain,
second(ordered_pair(a,sP0_iProver_def)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_10610,c_17637]) ).
cnf(c_64196,plain,
( ~ member(ordered_pair(a,sP0_iProver_def),X0)
| ~ ordered_pair_predicate(ordered_pair(a,sP0_iProver_def))
| member(sP0_iProver_def,range_of(X0)) ),
inference(superposition,[status(thm)],[c_62806,c_378]) ).
cnf(c_64225,plain,
( ~ member(ordered_pair(a,sP0_iProver_def),X0)
| member(sP0_iProver_def,range_of(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64196,c_21774]) ).
cnf(c_122342,plain,
member(sP0_iProver_def,range_of(a_function)),
inference(superposition,[status(thm)],[c_21215,c_64225]) ).
cnf(c_122479,plain,
member(sP0_iProver_def,a_range),
inference(superposition,[status(thm)],[c_122342,c_13433]) ).
cnf(c_122480,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_122479,c_8647]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET038-3 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 20:19:33 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 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
% 31.74/5.20 % SZS status Started for theBenchmark.p
% 31.74/5.20 % SZS status Unsatisfiable for theBenchmark.p
% 31.74/5.20
% 31.74/5.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 31.74/5.20
% 31.74/5.20 ------ iProver source info
% 31.74/5.20
% 31.74/5.20 git: date: 2024-05-02 19:28:25 +0000
% 31.74/5.20 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 31.74/5.20 git: non_committed_changes: false
% 31.74/5.20
% 31.74/5.20 ------ Parsing...successful
% 31.74/5.20
% 31.74/5.20
% 31.74/5.20
% 31.74/5.20 ------ 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
% 31.74/5.20
% 31.74/5.20 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 31.74/5.20
% 31.74/5.20 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 31.74/5.20 ------ Proving...
% 31.74/5.20 ------ Problem Properties
% 31.74/5.20
% 31.74/5.20
% 31.74/5.20 clauses 161
% 31.74/5.20 conjectures 1
% 31.74/5.20 EPR 26
% 31.74/5.20 Horn 142
% 31.74/5.20 unary 20
% 31.74/5.20 binary 95
% 31.74/5.20 lits 379
% 31.74/5.20 lits eq 44
% 31.74/5.20 fd_pure 0
% 31.74/5.20 fd_pseudo 0
% 31.74/5.20 fd_cond 4
% 31.74/5.20 fd_pseudo_cond 11
% 31.74/5.20 AC symbols 0
% 31.74/5.20
% 31.74/5.20 ------ Schedule dynamic 5 is on
% 31.74/5.20
% 31.74/5.20 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 31.74/5.20
% 31.74/5.20
% 31.74/5.20 ------
% 31.74/5.20 Current options:
% 31.74/5.20 ------
% 31.74/5.20
% 31.74/5.20
% 31.74/5.20
% 31.74/5.20
% 31.74/5.20 ------ Proving...
% 31.74/5.20
% 31.74/5.20
% 31.74/5.20 % SZS status Unsatisfiable for theBenchmark.p
% 31.74/5.20
% 31.74/5.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 31.74/5.20
% 31.74/5.20
%------------------------------------------------------------------------------