TSTP Solution File: ANA133-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ANA133-1 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 04:15:46 EDT 2024
% Result : Unsatisfiable 11.54s 2.13s
% Output : CNFRefutation 11.54s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
'+'(X0,X1) = '+'(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_plus) ).
cnf(c_50,plain,
'+'('+'(X0,X1),X2) = '+'(X0,'+'(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associtivity_of_plus) ).
cnf(c_51,plain,
times(X0,X1) = times(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_times) ).
cnf(c_52,plain,
times(times(X0,X1),X2) = times(X0,times(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_times) ).
cnf(c_53,plain,
'+'(zero,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_zero) ).
cnf(c_55,plain,
times(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',times_one) ).
cnf(c_57,plain,
'+'(X0,minus(X0)) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minus) ).
cnf(c_59,plain,
d(one) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',derivative_of_one) ).
cnf(c_60,plain,
d(x) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',derivative_of_x) ).
cnf(c_61,plain,
'+'(d(X0),d(X1)) = d('+'(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',derivative_of_plus) ).
cnf(c_62,plain,
'+'(times(X0,d(X1)),times(X1,d(X0))) = d(times(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',derivative_of_times) ).
cnf(c_63,plain,
times(cos(X0),d(X0)) = d(sin(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',derivative_of_sin) ).
cnf(c_64,plain,
minus(times(sin(X0),d(X0))) = d(cos(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',derivative_of_cos) ).
cnf(c_65,negated_conjecture,
times(x,cos(x)) != d(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(c_121,plain,
cos(x) = sP0_iProver_def,
definition ).
cnf(c_122,plain,
times(x,sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_123,negated_conjecture,
sP1_iProver_def != d(X0),
inference(demodulation,[status(thm)],[c_65,c_121,c_122]) ).
cnf(c_206,plain,
times(sP0_iProver_def,x) = sP1_iProver_def,
inference(theory_normalisation,[status(thm)],[c_122,c_50,c_49,c_52,c_51]) ).
cnf(c_207,plain,
times(d(X0),cos(X0)) = d(sin(X0)),
inference(demodulation,[status(thm)],[c_63,c_51]) ).
cnf(c_208,plain,
minus(times(d(X0),sin(X0))) = d(cos(X0)),
inference(demodulation,[status(thm)],[c_64,c_51]) ).
cnf(c_223,plain,
'+'(X0,zero) = X0,
inference(superposition,[status(thm)],[c_53,c_49]) ).
cnf(c_233,plain,
times(X0,one) = X0,
inference(superposition,[status(thm)],[c_55,c_51]) ).
cnf(c_266,plain,
'+'(d(X0),zero) = d('+'(X0,one)),
inference(superposition,[status(thm)],[c_59,c_61]) ).
cnf(c_272,plain,
d('+'(X0,one)) = d(X0),
inference(demodulation,[status(thm)],[c_266,c_223]) ).
cnf(c_292,plain,
'+'(times(x,d(X0)),times(X0,one)) = d(times(x,X0)),
inference(superposition,[status(thm)],[c_60,c_62]) ).
cnf(c_298,plain,
'+'(X0,times(x,d(X0))) = d(times(x,X0)),
inference(demodulation,[status(thm)],[c_292,c_49,c_233]) ).
cnf(c_306,plain,
times(d(x),sP0_iProver_def) = d(sin(x)),
inference(superposition,[status(thm)],[c_121,c_207]) ).
cnf(c_310,plain,
d(sin(x)) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_306,c_51,c_60,c_233]) ).
cnf(c_318,plain,
minus(times(one,sin(x))) = d(cos(x)),
inference(superposition,[status(thm)],[c_60,c_208]) ).
cnf(c_320,plain,
minus(sin(x)) = d(sP0_iProver_def),
inference(demodulation,[status(thm)],[c_318,c_55,c_121]) ).
cnf(c_381,plain,
'+'(sin(x),d(sP0_iProver_def)) = zero,
inference(superposition,[status(thm)],[c_320,c_57]) ).
cnf(c_382,plain,
'+'(d(sP0_iProver_def),sin(x)) = zero,
inference(demodulation,[status(thm)],[c_381,c_49]) ).
cnf(c_509,plain,
'+'(d(sP0_iProver_def),'+'(sin(x),X0)) = '+'(zero,X0),
inference(superposition,[status(thm)],[c_382,c_50]) ).
cnf(c_510,plain,
'+'(d(sP0_iProver_def),'+'(sin(x),X0)) = X0,
inference(demodulation,[status(thm)],[c_509,c_53]) ).
cnf(c_686,plain,
d(X0) != sP1_iProver_def,
inference(superposition,[status(thm)],[c_272,c_123]) ).
cnf(c_22886,plain,
'+'(d(sP0_iProver_def),d(times(x,sin(x)))) = times(x,d(sin(x))),
inference(superposition,[status(thm)],[c_298,c_510]) ).
cnf(c_22897,plain,
d('+'(sP0_iProver_def,times(x,sin(x)))) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_22886,c_51,c_61,c_206,c_310]) ).
cnf(c_22898,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_22897,c_686]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ANA133-1 : TPTP v8.2.0. Released v8.1.0.
% 0.11/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n024.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 : Sun Jun 23 04:15:24 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.18/0.45 Running UEQ theorem proving
% 0.18/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 11.54/2.13 % SZS status Started for theBenchmark.p
% 11.54/2.13 % SZS status Unsatisfiable for theBenchmark.p
% 11.54/2.13
% 11.54/2.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 11.54/2.13
% 11.54/2.13 ------ iProver source info
% 11.54/2.13
% 11.54/2.13 git: date: 2024-06-12 09:56:46 +0000
% 11.54/2.13 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 11.54/2.13 git: non_committed_changes: false
% 11.54/2.13
% 11.54/2.13 ------ Parsing...successful
% 11.54/2.13
% 11.54/2.13
% 11.54/2.13
% 11.54/2.13 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 11.54/2.13
% 11.54/2.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 11.54/2.13
% 11.54/2.13 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 11.54/2.13 ------ Proving...
% 11.54/2.13 ------ Problem Properties
% 11.54/2.13
% 11.54/2.13
% 11.54/2.13 clauses 19
% 11.54/2.13 conjectures 1
% 11.54/2.13 EPR 0
% 11.54/2.13 Horn 19
% 11.54/2.13 unary 19
% 11.54/2.13 binary 0
% 11.54/2.13 lits 19
% 11.54/2.13 lits eq 19
% 11.54/2.13 fd_pure 0
% 11.54/2.13 fd_pseudo 0
% 11.54/2.13 fd_cond 0
% 11.54/2.13 fd_pseudo_cond 0
% 11.54/2.13 AC symbols 2
% 11.54/2.13
% 11.54/2.13 ------ Input Options Time Limit: Unbounded
% 11.54/2.13
% 11.54/2.13
% 11.54/2.13 ------
% 11.54/2.13 Current options:
% 11.54/2.13 ------
% 11.54/2.13
% 11.54/2.13
% 11.54/2.13
% 11.54/2.13
% 11.54/2.13 ------ Proving...
% 11.54/2.13
% 11.54/2.13
% 11.54/2.13 % SZS status Unsatisfiable for theBenchmark.p
% 11.54/2.13
% 11.54/2.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 11.54/2.13
% 11.54/2.13
%------------------------------------------------------------------------------