TSTP Solution File: COL003-10 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : COL003-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n022.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 02:09:28 EDT 2024
% Result : Unsatisfiable 196.43s 25.65s
% Output : CNFRefutation 196.43s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(c_50,plain,
apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).
cnf(c_51,plain,
apply(apply(X0,X1),X1) = apply(apply(w,X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_definition) ).
cnf(c_52,plain,
ifeq(apply(X0,fixed_pt),apply(fixed_pt,apply(X0,fixed_pt)),fixed_point(X0),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',strong_fixed_point) ).
cnf(c_53,negated_conjecture,
fixed_point(apply(apply(b,apply(apply(b,apply(w,w)),apply(apply(b,apply(b,w)),b))),b)) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_strong_fixed_point) ).
cnf(c_73,plain,
apply(w,w) = sP0_iProver_def,
definition ).
cnf(c_74,plain,
apply(b,sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_75,plain,
apply(b,w) = sP2_iProver_def,
definition ).
cnf(c_76,plain,
apply(b,sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_77,plain,
apply(sP3_iProver_def,b) = sP4_iProver_def,
definition ).
cnf(c_78,plain,
apply(sP1_iProver_def,sP4_iProver_def) = sP5_iProver_def,
definition ).
cnf(c_79,plain,
apply(b,sP5_iProver_def) = sP6_iProver_def,
definition ).
cnf(c_80,plain,
apply(sP6_iProver_def,b) = sP7_iProver_def,
definition ).
cnf(c_81,plain,
fixed_point(sP7_iProver_def) = sP8_iProver_def,
definition ).
cnf(c_82,negated_conjecture,
sP8_iProver_def != true,
inference(demodulation,[status(thm)],[c_53,c_75,c_76,c_77,c_73,c_74,c_78,c_79,c_80,c_81]) ).
cnf(c_152,plain,
apply(apply(w,X0),X0) = apply(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_73,c_51]) ).
cnf(c_156,plain,
apply(apply(X0,X0),X0) = apply(apply(w,w),X0),
inference(superposition,[status(thm)],[c_51,c_51]) ).
cnf(c_157,plain,
apply(apply(X0,X0),X0) = apply(sP0_iProver_def,X0),
inference(light_normalisation,[status(thm)],[c_156,c_73]) ).
cnf(c_167,plain,
apply(apply(sP2_iProver_def,X0),X1) = apply(w,apply(X0,X1)),
inference(superposition,[status(thm)],[c_75,c_50]) ).
cnf(c_168,plain,
apply(apply(sP1_iProver_def,X0),X1) = apply(sP0_iProver_def,apply(X0,X1)),
inference(superposition,[status(thm)],[c_74,c_50]) ).
cnf(c_169,plain,
apply(apply(sP3_iProver_def,X0),X1) = apply(sP2_iProver_def,apply(X0,X1)),
inference(superposition,[status(thm)],[c_76,c_50]) ).
cnf(c_170,plain,
apply(apply(sP6_iProver_def,X0),X1) = apply(sP5_iProver_def,apply(X0,X1)),
inference(superposition,[status(thm)],[c_79,c_50]) ).
cnf(c_171,plain,
apply(apply(w,apply(apply(b,X0),X1)),X2) = apply(apply(X0,apply(X1,X2)),X2),
inference(superposition,[status(thm)],[c_50,c_51]) ).
cnf(c_213,plain,
apply(sP0_iProver_def,apply(sP4_iProver_def,X0)) = apply(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_78,c_168]) ).
cnf(c_232,plain,
apply(sP2_iProver_def,apply(b,X0)) = apply(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_77,c_169]) ).
cnf(c_265,plain,
apply(w,apply(apply(b,X0),X1)) = apply(apply(sP4_iProver_def,X0),X1),
inference(superposition,[status(thm)],[c_232,c_167]) ).
cnf(c_395,plain,
ifeq(apply(sP7_iProver_def,fixed_pt),apply(fixed_pt,apply(sP7_iProver_def,fixed_pt)),sP8_iProver_def,true) = true,
inference(superposition,[status(thm)],[c_81,c_52]) ).
cnf(c_453,plain,
apply(sP5_iProver_def,apply(b,X0)) = apply(sP7_iProver_def,X0),
inference(superposition,[status(thm)],[c_80,c_170]) ).
cnf(c_1507,plain,
apply(apply(X0,apply(X1,X2)),X2) = apply(apply(apply(sP4_iProver_def,X0),X1),X2),
inference(light_normalisation,[status(thm)],[c_171,c_265]) ).
cnf(c_1629,plain,
apply(apply(X0,apply(X1,X1)),X1) = apply(apply(w,apply(sP4_iProver_def,X0)),X1),
inference(superposition,[status(thm)],[c_1507,c_51]) ).
cnf(c_9323,plain,
apply(apply(w,apply(sP4_iProver_def,apply(b,X0))),X1) = apply(X0,apply(apply(X1,X1),X1)),
inference(superposition,[status(thm)],[c_1629,c_50]) ).
cnf(c_57971,plain,
apply(apply(w,apply(sP4_iProver_def,apply(b,X0))),X1) = apply(X0,apply(sP0_iProver_def,X1)),
inference(demodulation,[status(thm)],[c_9323,c_157]) ).
cnf(c_58028,plain,
apply(X0,apply(sP0_iProver_def,apply(sP4_iProver_def,apply(b,X0)))) = apply(sP0_iProver_def,apply(sP4_iProver_def,apply(b,X0))),
inference(superposition,[status(thm)],[c_57971,c_152]) ).
cnf(c_520915,plain,
apply(X0,apply(sP7_iProver_def,X0)) = apply(sP7_iProver_def,X0),
inference(demodulation,[status(thm)],[c_58028,c_213,c_453]) ).
cnf(c_520916,plain,
ifeq(apply(sP7_iProver_def,fixed_pt),apply(sP7_iProver_def,fixed_pt),sP8_iProver_def,true) = true,
inference(demodulation,[status(thm)],[c_395,c_520915]) ).
cnf(c_524780,plain,
true = sP8_iProver_def,
inference(demodulation,[status(thm)],[c_520916,c_49]) ).
cnf(c_524797,plain,
sP8_iProver_def != sP8_iProver_def,
inference(demodulation,[status(thm)],[c_82,c_524780]) ).
cnf(c_524798,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_524797]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : COL003-10 : TPTP v8.1.2. Released v7.3.0.
% 0.02/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n022.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 21:25:57 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running UEQ theorem proving
% 0.17/0.43 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 196.43/25.65 % SZS status Started for theBenchmark.p
% 196.43/25.65 % SZS status Unsatisfiable for theBenchmark.p
% 196.43/25.65
% 196.43/25.65 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 196.43/25.65
% 196.43/25.65 ------ iProver source info
% 196.43/25.65
% 196.43/25.65 git: date: 2024-05-02 19:28:25 +0000
% 196.43/25.65 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 196.43/25.65 git: non_committed_changes: false
% 196.43/25.65
% 196.43/25.65 ------ Parsing...successful
% 196.43/25.65
% 196.43/25.65
% 196.43/25.65
% 196.43/25.65 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 196.43/25.65
% 196.43/25.65 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 196.43/25.65
% 196.43/25.65 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 196.43/25.65 ------ Proving...
% 196.43/25.65 ------ Problem Properties
% 196.43/25.65
% 196.43/25.65
% 196.43/25.65 clauses 14
% 196.43/25.65 conjectures 1
% 196.43/25.65 EPR 1
% 196.43/25.65 Horn 14
% 196.43/25.65 unary 14
% 196.43/25.65 binary 0
% 196.43/25.65 lits 14
% 196.43/25.65 lits eq 14
% 196.43/25.65 fd_pure 0
% 196.43/25.65 fd_pseudo 0
% 196.43/25.65 fd_cond 0
% 196.43/25.65 fd_pseudo_cond 0
% 196.43/25.65 AC symbols 0
% 196.43/25.65
% 196.43/25.65 ------ Input Options Time Limit: Unbounded
% 196.43/25.65
% 196.43/25.65
% 196.43/25.65 ------
% 196.43/25.65 Current options:
% 196.43/25.65 ------
% 196.43/25.65
% 196.43/25.65
% 196.43/25.65
% 196.43/25.65
% 196.43/25.65 ------ Proving...
% 196.43/25.65
% 196.43/25.65
% 196.43/25.65 % SZS status Unsatisfiable for theBenchmark.p
% 196.43/25.65
% 196.43/25.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 196.43/25.65
% 196.43/25.65
%------------------------------------------------------------------------------