TSTP Solution File: RNG015-6 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : RNG015-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 02:57:16 EDT 2024
% Result : Unsatisfiable 4.28s 1.16s
% Output : CNFRefutation 4.28s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
add(multiply(x,y),additive_inverse(multiply(x,z))) != multiply(x,add(y,additive_inverse(z))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distributivity) ).
cnf(c_51,plain,
add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',right_additive_identity) ).
cnf(c_55,plain,
add(X0,additive_inverse(X0)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',right_additive_inverse) ).
cnf(c_56,plain,
additive_inverse(additive_inverse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',additive_inverse_additive_inverse) ).
cnf(c_57,plain,
add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',distribute1) ).
cnf(c_59,plain,
add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',commutativity_for_addition) ).
cnf(c_60,plain,
add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',associativity_for_addition) ).
cnf(c_146,plain,
multiply(x,y) = sP0_iProver_def,
definition ).
cnf(c_147,plain,
multiply(x,z) = sP1_iProver_def,
definition ).
cnf(c_148,plain,
additive_inverse(sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_149,plain,
add(sP0_iProver_def,sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_150,plain,
additive_inverse(z) = sP4_iProver_def,
definition ).
cnf(c_151,plain,
add(y,sP4_iProver_def) = sP5_iProver_def,
definition ).
cnf(c_152,plain,
multiply(x,sP5_iProver_def) = sP6_iProver_def,
definition ).
cnf(c_153,negated_conjecture,
sP3_iProver_def != sP6_iProver_def,
inference(demodulation,[status(thm)],[c_49,c_150,c_151,c_152,c_147,c_148,c_146,c_149]) ).
cnf(c_231,plain,
additive_inverse(sP4_iProver_def) = z,
inference(superposition,[status(thm)],[c_150,c_56]) ).
cnf(c_232,plain,
additive_inverse(sP2_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_148,c_56]) ).
cnf(c_234,plain,
add(sP4_iProver_def,y) = sP5_iProver_def,
inference(theory_normalisation,[status(thm)],[c_151,c_60,c_59]) ).
cnf(c_239,plain,
add(sP4_iProver_def,z) = additive_identity,
inference(superposition,[status(thm)],[c_231,c_55]) ).
cnf(c_240,plain,
add(sP2_iProver_def,sP1_iProver_def) = additive_identity,
inference(superposition,[status(thm)],[c_232,c_55]) ).
cnf(c_241,plain,
add(sP1_iProver_def,sP2_iProver_def) = additive_identity,
inference(theory_normalisation,[status(thm)],[c_240,c_60,c_59]) ).
cnf(c_244,plain,
add(additive_identity,X0) = X0,
inference(superposition,[status(thm)],[c_51,c_59]) ).
cnf(c_259,plain,
add(X0,add(additive_inverse(X0),X1)) = add(additive_identity,X1),
inference(superposition,[status(thm)],[c_55,c_60]) ).
cnf(c_260,plain,
add(sP0_iProver_def,add(sP2_iProver_def,X0)) = add(sP3_iProver_def,X0),
inference(superposition,[status(thm)],[c_149,c_60]) ).
cnf(c_261,plain,
add(sP4_iProver_def,add(y,X0)) = add(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_234,c_60]) ).
cnf(c_262,plain,
add(sP1_iProver_def,add(sP2_iProver_def,X0)) = add(additive_identity,X0),
inference(superposition,[status(thm)],[c_241,c_60]) ).
cnf(c_263,plain,
add(sP4_iProver_def,add(z,X0)) = add(additive_identity,X0),
inference(superposition,[status(thm)],[c_239,c_60]) ).
cnf(c_265,plain,
add(X0,add(X1,additive_inverse(add(X0,X1)))) = additive_identity,
inference(superposition,[status(thm)],[c_60,c_55]) ).
cnf(c_266,plain,
add(sP4_iProver_def,add(z,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_263,c_244]) ).
cnf(c_267,plain,
add(sP1_iProver_def,add(sP2_iProver_def,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_262,c_244]) ).
cnf(c_277,plain,
add(sP4_iProver_def,add(X0,z)) = X0,
inference(superposition,[status(thm)],[c_59,c_266]) ).
cnf(c_456,plain,
add(sP1_iProver_def,multiply(x,X0)) = multiply(x,add(z,X0)),
inference(superposition,[status(thm)],[c_147,c_57]) ).
cnf(c_558,plain,
add(sP5_iProver_def,z) = y,
inference(superposition,[status(thm)],[c_261,c_277]) ).
cnf(c_589,plain,
add(X0,add(additive_inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_259,c_244]) ).
cnf(c_596,plain,
add(X0,add(X1,additive_inverse(X0))) = X1,
inference(superposition,[status(thm)],[c_59,c_589]) ).
cnf(c_887,plain,
add(sP3_iProver_def,additive_inverse(sP0_iProver_def)) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_596,c_260]) ).
cnf(c_928,plain,
add(sP3_iProver_def,add(additive_inverse(sP0_iProver_def),X0)) = add(sP2_iProver_def,X0),
inference(superposition,[status(thm)],[c_887,c_60]) ).
cnf(c_1304,plain,
add(X0,additive_inverse(add(sP2_iProver_def,X0))) = add(sP1_iProver_def,additive_identity),
inference(superposition,[status(thm)],[c_265,c_267]) ).
cnf(c_2372,plain,
add(sP2_iProver_def,additive_inverse(sP3_iProver_def)) = additive_inverse(sP0_iProver_def),
inference(superposition,[status(thm)],[c_928,c_596]) ).
cnf(c_2418,plain,
add(sP1_iProver_def,additive_inverse(sP0_iProver_def)) = additive_inverse(sP3_iProver_def),
inference(superposition,[status(thm)],[c_2372,c_267]) ).
cnf(c_3026,plain,
add(X0,additive_inverse(add(sP2_iProver_def,X0))) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_1304,c_51]) ).
cnf(c_3048,plain,
additive_inverse(add(sP2_iProver_def,additive_inverse(X0))) = add(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_3026,c_589]) ).
cnf(c_3653,plain,
additive_inverse(add(X0,sP1_iProver_def)) = add(sP2_iProver_def,additive_inverse(X0)),
inference(superposition,[status(thm)],[c_3048,c_56]) ).
cnf(c_3845,plain,
additive_inverse(add(sP1_iProver_def,X0)) = add(sP2_iProver_def,additive_inverse(X0)),
inference(superposition,[status(thm)],[c_59,c_3653]) ).
cnf(c_4507,plain,
multiply(x,add(z,sP5_iProver_def)) = add(sP1_iProver_def,sP6_iProver_def),
inference(superposition,[status(thm)],[c_152,c_456]) ).
cnf(c_4519,plain,
multiply(x,add(sP5_iProver_def,z)) = add(sP1_iProver_def,sP6_iProver_def),
inference(theory_normalisation,[status(thm)],[c_4507,c_60,c_59]) ).
cnf(c_4520,plain,
add(sP1_iProver_def,sP6_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_4519,c_146,c_558]) ).
cnf(c_4595,plain,
add(sP2_iProver_def,additive_inverse(sP6_iProver_def)) = additive_inverse(sP0_iProver_def),
inference(superposition,[status(thm)],[c_4520,c_3845]) ).
cnf(c_4617,plain,
add(sP1_iProver_def,additive_inverse(sP0_iProver_def)) = additive_inverse(sP6_iProver_def),
inference(superposition,[status(thm)],[c_4595,c_267]) ).
cnf(c_4620,plain,
additive_inverse(sP3_iProver_def) = additive_inverse(sP6_iProver_def),
inference(light_normalisation,[status(thm)],[c_4617,c_2418]) ).
cnf(c_4650,plain,
additive_inverse(additive_inverse(sP3_iProver_def)) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_4620,c_56]) ).
cnf(c_4653,plain,
sP3_iProver_def = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_4650,c_56]) ).
cnf(c_4654,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4653,c_153]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : RNG015-6 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 21:12:40 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running UEQ theorem proving
% 0.21/0.48 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
% 4.28/1.16 % SZS status Started for theBenchmark.p
% 4.28/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 4.28/1.16
% 4.28/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.28/1.16
% 4.28/1.16 ------ iProver source info
% 4.28/1.16
% 4.28/1.16 git: date: 2024-05-02 19:28:25 +0000
% 4.28/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.28/1.16 git: non_committed_changes: false
% 4.28/1.16
% 4.28/1.16 ------ Parsing...successful
% 4.28/1.16
% 4.28/1.16
% 4.28/1.16
% 4.28/1.16 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 4.28/1.16
% 4.28/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.28/1.16
% 4.28/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.28/1.16 ------ Proving...
% 4.28/1.16 ------ Problem Properties
% 4.28/1.16
% 4.28/1.16
% 4.28/1.16 clauses 21
% 4.28/1.16 conjectures 1
% 4.28/1.16 EPR 1
% 4.28/1.16 Horn 21
% 4.28/1.16 unary 21
% 4.28/1.16 binary 0
% 4.28/1.16 lits 21
% 4.28/1.16 lits eq 21
% 4.28/1.16 fd_pure 0
% 4.28/1.16 fd_pseudo 0
% 4.28/1.16 fd_cond 0
% 4.28/1.16 fd_pseudo_cond 0
% 4.28/1.16 AC symbols 1
% 4.28/1.16
% 4.28/1.16 ------ Input Options Time Limit: Unbounded
% 4.28/1.16
% 4.28/1.16
% 4.28/1.16 ------
% 4.28/1.16 Current options:
% 4.28/1.16 ------
% 4.28/1.16
% 4.28/1.16
% 4.28/1.16
% 4.28/1.16
% 4.28/1.16 ------ Proving...
% 4.28/1.16
% 4.28/1.16
% 4.28/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 4.28/1.16
% 4.28/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.28/1.16
% 4.28/1.16
%------------------------------------------------------------------------------