TSTP Solution File: RNG008-3 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : RNG008-3 : TPTP v8.1.2. Released v1.0.0.
% 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 : Fri May 3 02:57:13 EDT 2024
% Result : Unsatisfiable 4.26s 1.19s
% Output : CNFRefutation 4.26s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
cnf(c_50,plain,
add(X0,additive_inverse(X0)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
cnf(c_51,plain,
multiply(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boolean_ring) ).
cnf(c_52,negated_conjecture,
multiply(a,b) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b_is_c) ).
cnf(c_53,negated_conjecture,
multiply(b,a) != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_commutativity) ).
cnf(c_54,plain,
add(additive_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG002-0.ax',left_identity) ).
cnf(c_56,plain,
add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG002-0.ax',distribute1) ).
cnf(c_57,plain,
add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,X2),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG002-0.ax',distribute2) ).
cnf(c_59,plain,
additive_inverse(additive_inverse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG002-0.ax',additive_inverse_additive_inverse) ).
cnf(c_63,plain,
additive_inverse(multiply(X0,X1)) = multiply(X0,additive_inverse(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG002-0.ax',multiply_additive_inverse1) ).
cnf(c_64,plain,
additive_inverse(multiply(X0,X1)) = multiply(additive_inverse(X0),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG002-0.ax',multiply_additive_inverse2) ).
cnf(c_65,plain,
add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG002-0.ax',associative_addition) ).
cnf(c_66,plain,
add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG002-0.ax',commutative_addition) ).
cnf(c_164,plain,
multiply(b,a) = sP0_iProver_def,
definition ).
cnf(c_165,plain,
multiply(a,b) = sP1_iProver_def,
definition ).
cnf(c_166,negated_conjecture,
sP0_iProver_def != c,
inference(demodulation,[status(thm)],[c_53,c_164]) ).
cnf(c_167,negated_conjecture,
sP1_iProver_def = c,
inference(demodulation,[status(thm)],[c_52,c_165]) ).
cnf(c_241,plain,
add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
inference(superposition,[status(thm)],[c_65,c_66]) ).
cnf(c_254,plain,
add(multiply(X0,add(X0,X1)),multiply(X1,add(X0,X1))) = add(X0,X1),
inference(superposition,[status(thm)],[c_57,c_51]) ).
cnf(c_284,plain,
additive_inverse(multiply(X0,additive_inverse(X0))) = additive_inverse(X0),
inference(superposition,[status(thm)],[c_64,c_51]) ).
cnf(c_291,plain,
add(X0,add(additive_inverse(X0),X1)) = add(additive_identity,X1),
inference(superposition,[status(thm)],[c_50,c_65]) ).
cnf(c_295,plain,
add(X0,add(X1,additive_inverse(add(X0,X1)))) = additive_identity,
inference(superposition,[status(thm)],[c_65,c_50]) ).
cnf(c_340,plain,
add(X0,add(X1,additive_inverse(X0))) = add(X1,additive_identity),
inference(superposition,[status(thm)],[c_50,c_241]) ).
cnf(c_350,plain,
additive_inverse(X0) = X0,
inference(demodulation,[status(thm)],[c_284,c_51,c_59,c_63]) ).
cnf(c_356,plain,
add(X0,add(X1,X0)) = add(X1,additive_identity),
inference(demodulation,[status(thm)],[c_340,c_350]) ).
cnf(c_357,plain,
add(X0,add(X1,X0)) = X1,
inference(demodulation,[status(thm)],[c_356,c_49]) ).
cnf(c_363,plain,
add(X0,X0) = additive_identity,
inference(demodulation,[status(thm)],[c_295,c_350,c_357]) ).
cnf(c_364,plain,
add(X0,add(X0,X1)) = add(additive_identity,X1),
inference(demodulation,[status(thm)],[c_291,c_350]) ).
cnf(c_365,plain,
add(X0,add(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_364,c_54]) ).
cnf(c_375,plain,
add(add(X0,multiply(X0,X1)),add(multiply(X1,X0),X1)) = add(X0,X1),
inference(demodulation,[status(thm)],[c_254,c_51,c_56]) ).
cnf(c_376,plain,
add(X0,add(X1,add(multiply(X0,X1),multiply(X1,X0)))) = add(X0,X1),
inference(theory_normalisation,[status(thm)],[c_375,c_65,c_66]) ).
cnf(c_894,plain,
sP0_iProver_def != sP1_iProver_def,
inference(superposition,[status(thm)],[c_167,c_166]) ).
cnf(c_1059,plain,
add(a,add(b,add(multiply(a,b),sP0_iProver_def))) = add(a,b),
inference(superposition,[status(thm)],[c_164,c_376]) ).
cnf(c_1165,plain,
add(a,add(b,add(sP1_iProver_def,sP0_iProver_def))) = add(a,b),
inference(demodulation,[status(thm)],[c_1059,c_165]) ).
cnf(c_1166,plain,
add(sP0_iProver_def,add(sP1_iProver_def,add(a,b))) = add(a,b),
inference(theory_normalisation,[status(thm)],[c_1165,c_65,c_66]) ).
cnf(c_1563,plain,
add(add(sP1_iProver_def,add(a,b)),add(a,b)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_1166,c_357]) ).
cnf(c_1960,plain,
add(sP1_iProver_def,add(a,add(a,add(b,b)))) = sP0_iProver_def,
inference(theory_normalisation,[status(thm)],[c_1563,c_65,c_66]) ).
cnf(c_1961,plain,
sP0_iProver_def = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_1960,c_49,c_363,c_365]) ).
cnf(c_2493,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_894,c_1961]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : RNG008-3 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 2 21:20:06 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.47 Running UEQ theorem proving
% 0.20/0.47 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
% 4.26/1.19 % SZS status Started for theBenchmark.p
% 4.26/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 4.26/1.19
% 4.26/1.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.26/1.19
% 4.26/1.19 ------ iProver source info
% 4.26/1.19
% 4.26/1.19 git: date: 2024-05-02 19:28:25 +0000
% 4.26/1.19 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.26/1.19 git: non_committed_changes: false
% 4.26/1.19
% 4.26/1.19 ------ Parsing...successful
% 4.26/1.19
% 4.26/1.19
% 4.26/1.19
% 4.26/1.19 ------ Preprocessing... sup_sim: 0 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
% 4.26/1.19
% 4.26/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.26/1.19
% 4.26/1.19 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.26/1.19 ------ Proving...
% 4.26/1.19 ------ Problem Properties
% 4.26/1.19
% 4.26/1.19
% 4.26/1.19 clauses 20
% 4.26/1.19 conjectures 2
% 4.26/1.19 EPR 2
% 4.26/1.19 Horn 20
% 4.26/1.19 unary 20
% 4.26/1.19 binary 0
% 4.26/1.19 lits 20
% 4.26/1.19 lits eq 20
% 4.26/1.19 fd_pure 0
% 4.26/1.19 fd_pseudo 0
% 4.26/1.19 fd_cond 0
% 4.26/1.19 fd_pseudo_cond 0
% 4.26/1.19 AC symbols 1
% 4.26/1.19
% 4.26/1.19 ------ Input Options Time Limit: Unbounded
% 4.26/1.19
% 4.26/1.19
% 4.26/1.19 ------
% 4.26/1.19 Current options:
% 4.26/1.19 ------
% 4.26/1.19
% 4.26/1.19
% 4.26/1.19
% 4.26/1.19
% 4.26/1.19 ------ Proving...
% 4.26/1.19
% 4.26/1.19
% 4.26/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 4.26/1.19
% 4.26/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.26/1.19
% 4.26/1.19
%------------------------------------------------------------------------------