TSTP Solution File: LDA002-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LDA002-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 02:43:02 EDT 2024
% Result : Unsatisfiable 3.82s 1.12s
% Output : CNFRefutation 3.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of clauses : 69 ( 69 unt; 0 nHn; 55 RR)
% Number of literals : 69 ( 68 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
f(f(X0,X1),f(X0,X2)) = f(X0,f(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).
cnf(c_50,plain,
f(n1,n1) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
cnf(c_51,plain,
f(n2,n1) = n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
cnf(c_52,plain,
f(n2,n2) = u,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
cnf(c_53,plain,
f(u,n1) = u1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
cnf(c_54,plain,
f(u,n2) = u2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
cnf(c_55,plain,
f(u,n3) = u3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
cnf(c_56,plain,
f(u,u) = uu,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
cnf(c_57,plain,
f(f(n3,n2),u2) = a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
cnf(c_58,plain,
f(u1,u3) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
cnf(c_59,plain,
f(uu,uu) = v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
cnf(c_60,negated_conjecture,
f(a,v) != f(b,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).
cnf(c_133,plain,
f(n2,f(n1,X0)) = f(n1,f(n1,X0)),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_134,plain,
f(n2,f(n1,X0)) = f(n3,f(n2,X0)),
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_135,plain,
f(n2,f(n2,X0)) = f(u,f(n2,X0)),
inference(superposition,[status(thm)],[c_52,c_49]) ).
cnf(c_136,plain,
f(u,f(n1,X0)) = f(u1,f(u,X0)),
inference(superposition,[status(thm)],[c_53,c_49]) ).
cnf(c_137,plain,
f(u,f(n2,X0)) = f(u2,f(u,X0)),
inference(superposition,[status(thm)],[c_54,c_49]) ).
cnf(c_138,plain,
f(u,f(n3,X0)) = f(u3,f(u,X0)),
inference(superposition,[status(thm)],[c_55,c_49]) ).
cnf(c_139,plain,
f(u,f(u,X0)) = f(uu,f(u,X0)),
inference(superposition,[status(thm)],[c_56,c_49]) ).
cnf(c_140,plain,
f(f(n3,n2),f(u2,X0)) = f(a,f(f(n3,n2),X0)),
inference(superposition,[status(thm)],[c_57,c_49]) ).
cnf(c_141,plain,
f(u1,f(u3,X0)) = f(b,f(u1,X0)),
inference(superposition,[status(thm)],[c_58,c_49]) ).
cnf(c_142,plain,
f(uu,f(uu,X0)) = f(v,f(uu,X0)),
inference(superposition,[status(thm)],[c_59,c_49]) ).
cnf(c_178,plain,
f(n2,n2) = f(n1,n2),
inference(superposition,[status(thm)],[c_50,c_133]) ).
cnf(c_183,plain,
f(n1,n2) = u,
inference(light_normalisation,[status(thm)],[c_178,c_52]) ).
cnf(c_189,plain,
f(n2,u) = f(n1,u),
inference(superposition,[status(thm)],[c_183,c_133]) ).
cnf(c_198,plain,
f(n2,f(n1,n2)) = f(n3,u),
inference(superposition,[status(thm)],[c_52,c_134]) ).
cnf(c_201,plain,
f(n2,u) = f(n3,u),
inference(light_normalisation,[status(thm)],[c_198,c_183]) ).
cnf(c_214,plain,
f(n2,u) = f(u,u),
inference(superposition,[status(thm)],[c_52,c_135]) ).
cnf(c_217,plain,
f(n2,u) = uu,
inference(light_normalisation,[status(thm)],[c_214,c_56]) ).
cnf(c_219,plain,
f(n3,u) = uu,
inference(demodulation,[status(thm)],[c_201,c_217]) ).
cnf(c_220,plain,
f(n1,u) = uu,
inference(demodulation,[status(thm)],[c_189,c_217]) ).
cnf(c_225,plain,
f(n2,uu) = f(u,uu),
inference(superposition,[status(thm)],[c_217,c_135]) ).
cnf(c_226,plain,
f(n2,f(n1,u)) = f(n3,uu),
inference(superposition,[status(thm)],[c_217,c_134]) ).
cnf(c_227,plain,
f(n2,uu) = f(n3,uu),
inference(light_normalisation,[status(thm)],[c_226,c_220]) ).
cnf(c_237,plain,
f(f(n3,X0),uu) = f(n3,f(X0,u)),
inference(superposition,[status(thm)],[c_219,c_49]) ).
cnf(c_243,plain,
f(u,f(n1,u)) = f(u1,uu),
inference(superposition,[status(thm)],[c_56,c_136]) ).
cnf(c_247,plain,
f(n2,uu) = f(u1,uu),
inference(light_normalisation,[status(thm)],[c_243,c_220,c_225]) ).
cnf(c_257,plain,
f(n2,uu) = f(n1,uu),
inference(superposition,[status(thm)],[c_220,c_133]) ).
cnf(c_283,plain,
f(n2,f(n2,X0)) = f(u2,f(u,X0)),
inference(light_normalisation,[status(thm)],[c_137,c_135]) ).
cnf(c_285,plain,
f(n2,f(n2,n2)) = f(u2,u2),
inference(superposition,[status(thm)],[c_54,c_283]) ).
cnf(c_295,plain,
f(u2,u2) = uu,
inference(light_normalisation,[status(thm)],[c_285,c_52,c_217]) ).
cnf(c_336,plain,
f(u,f(n3,u)) = f(u3,uu),
inference(superposition,[status(thm)],[c_56,c_138]) ).
cnf(c_343,plain,
f(n2,uu) = f(u3,uu),
inference(light_normalisation,[status(thm)],[c_336,c_219,c_225]) ).
cnf(c_396,plain,
f(u,uu) = f(uu,uu),
inference(superposition,[status(thm)],[c_56,c_139]) ).
cnf(c_406,plain,
f(n2,uu) = v,
inference(light_normalisation,[status(thm)],[c_396,c_59,c_225]) ).
cnf(c_409,plain,
f(u3,uu) = v,
inference(demodulation,[status(thm)],[c_343,c_406]) ).
cnf(c_411,plain,
f(n1,uu) = v,
inference(demodulation,[status(thm)],[c_257,c_406]) ).
cnf(c_412,plain,
f(u1,uu) = v,
inference(demodulation,[status(thm)],[c_247,c_406]) ).
cnf(c_413,plain,
f(n3,uu) = v,
inference(demodulation,[status(thm)],[c_227,c_406]) ).
cnf(c_414,plain,
f(u,uu) = v,
inference(demodulation,[status(thm)],[c_225,c_406]) ).
cnf(c_437,plain,
f(uu,v) = f(v,v),
inference(superposition,[status(thm)],[c_59,c_142]) ).
cnf(c_448,plain,
f(n2,v) = f(u,v),
inference(superposition,[status(thm)],[c_406,c_135]) ).
cnf(c_468,plain,
f(u1,f(u3,uu)) = f(b,v),
inference(superposition,[status(thm)],[c_412,c_141]) ).
cnf(c_469,plain,
f(u1,v) = f(b,v),
inference(light_normalisation,[status(thm)],[c_468,c_409]) ).
cnf(c_470,plain,
f(u1,v) != f(a,v),
inference(demodulation,[status(thm)],[c_60,c_469]) ).
cnf(c_526,plain,
f(u,v) = f(uu,v),
inference(superposition,[status(thm)],[c_414,c_139]) ).
cnf(c_529,plain,
f(u,f(n1,uu)) = f(u1,v),
inference(superposition,[status(thm)],[c_414,c_136]) ).
cnf(c_530,plain,
f(n2,v) = f(uu,v),
inference(light_normalisation,[status(thm)],[c_526,c_448]) ).
cnf(c_531,plain,
f(n2,v) = f(u1,v),
inference(light_normalisation,[status(thm)],[c_529,c_411,c_448]) ).
cnf(c_534,plain,
f(n2,v) = f(v,v),
inference(demodulation,[status(thm)],[c_437,c_530]) ).
cnf(c_547,plain,
f(n2,v) != f(a,v),
inference(light_normalisation,[status(thm)],[c_470,c_531]) ).
cnf(c_4887,plain,
f(a,f(f(n3,n2),u2)) = f(f(n3,n2),uu),
inference(superposition,[status(thm)],[c_295,c_140]) ).
cnf(c_4905,plain,
f(f(n3,n2),uu) = f(a,a),
inference(light_normalisation,[status(thm)],[c_4887,c_57]) ).
cnf(c_4991,plain,
f(n3,f(n2,u)) = f(a,a),
inference(superposition,[status(thm)],[c_4905,c_237]) ).
cnf(c_4992,plain,
f(a,a) = v,
inference(light_normalisation,[status(thm)],[c_4991,c_217,c_413]) ).
cnf(c_4998,plain,
f(a,f(a,X0)) = f(v,f(a,X0)),
inference(superposition,[status(thm)],[c_4992,c_49]) ).
cnf(c_5021,plain,
f(a,v) = f(v,v),
inference(superposition,[status(thm)],[c_4992,c_4998]) ).
cnf(c_5026,plain,
f(n2,v) = f(a,v),
inference(light_normalisation,[status(thm)],[c_5021,c_534]) ).
cnf(c_5027,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5026,c_547]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LDA002-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 21:53:15 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.47 Running UEQ theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.82/1.12 % SZS status Started for theBenchmark.p
% 3.82/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 3.82/1.12
% 3.82/1.12 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.82/1.12
% 3.82/1.12 ------ iProver source info
% 3.82/1.12
% 3.82/1.12 git: date: 2024-05-02 19:28:25 +0000
% 3.82/1.12 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.82/1.12 git: non_committed_changes: false
% 3.82/1.12
% 3.82/1.12 ------ Parsing...successful
% 3.82/1.12
% 3.82/1.12
% 3.82/1.12
% 3.82/1.12 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.82/1.12
% 3.82/1.12 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.82/1.12
% 3.82/1.12 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.82/1.12 ------ Proving...
% 3.82/1.12 ------ Problem Properties
% 3.82/1.12
% 3.82/1.12
% 3.82/1.12 clauses 12
% 3.82/1.12 conjectures 1
% 3.82/1.12 EPR 0
% 3.82/1.12 Horn 12
% 3.82/1.12 unary 12
% 3.82/1.12 binary 0
% 3.82/1.12 lits 12
% 3.82/1.12 lits eq 12
% 3.82/1.12 fd_pure 0
% 3.82/1.12 fd_pseudo 0
% 3.82/1.12 fd_cond 0
% 3.82/1.12 fd_pseudo_cond 0
% 3.82/1.12 AC symbols 0
% 3.82/1.12
% 3.82/1.12 ------ Input Options Time Limit: Unbounded
% 3.82/1.12
% 3.82/1.12
% 3.82/1.12 ------
% 3.82/1.12 Current options:
% 3.82/1.12 ------
% 3.82/1.12
% 3.82/1.12
% 3.82/1.12
% 3.82/1.12
% 3.82/1.12 ------ Proving...
% 3.82/1.12
% 3.82/1.12
% 3.82/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 3.82/1.12
% 3.82/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.82/1.13
% 3.82/1.13
%------------------------------------------------------------------------------