TSTP Solution File: BOO004-2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : BOO004-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 02:08:31 EDT 2024
% Result : Unsatisfiable 0.41s 1.11s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
add(a,a) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_plus_a_is_a) ).
cnf(c_50,plain,
add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',commutativity_of_add) ).
cnf(c_52,plain,
multiply(add(X0,X1),add(X2,X1)) = add(multiply(X0,X2),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',distributivity1) ).
cnf(c_53,plain,
multiply(add(X0,X1),add(X0,X2)) = add(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',distributivity2) ).
cnf(c_54,plain,
add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,X2),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',distributivity3) ).
cnf(c_55,plain,
add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',distributivity4) ).
cnf(c_56,plain,
add(X0,inverse(X0)) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',additive_inverse1) ).
cnf(c_58,plain,
multiply(X0,inverse(X0)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',multiplicative_inverse1) ).
cnf(c_60,plain,
multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',multiplicative_id1) ).
cnf(c_61,plain,
multiply(multiplicative_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',multiplicative_id2) ).
cnf(c_62,plain,
add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',additive_id1) ).
cnf(c_63,plain,
add(additive_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',additive_id2) ).
cnf(c_143,plain,
add(a,a) = sP0_iProver_def,
definition ).
cnf(c_144,negated_conjecture,
sP0_iProver_def != a,
inference(demodulation,[status(thm)],[c_49,c_143]) ).
cnf(c_223,plain,
multiply(add(X0,X1),add(X2,X0)) = add(multiply(X1,X2),X0),
inference(superposition,[status(thm)],[c_50,c_52]) ).
cnf(c_225,plain,
add(multiply(X0,X1),inverse(X0)) = multiply(multiplicative_identity,add(X1,inverse(X0))),
inference(superposition,[status(thm)],[c_56,c_52]) ).
cnf(c_227,plain,
multiply(X0,add(X1,X0)) = add(multiply(additive_identity,X1),X0),
inference(superposition,[status(thm)],[c_63,c_52]) ).
cnf(c_334,plain,
add(multiply(additive_identity,X0),multiplicative_identity) = add(X0,multiplicative_identity),
inference(superposition,[status(thm)],[c_227,c_61]) ).
cnf(c_369,plain,
add(multiplicative_identity,multiply(additive_identity,X0)) = add(X0,multiplicative_identity),
inference(demodulation,[status(thm)],[c_334,c_50]) ).
cnf(c_373,plain,
add(multiplicative_identity,multiplicative_identity) = add(multiplicative_identity,additive_identity),
inference(superposition,[status(thm)],[c_60,c_369]) ).
cnf(c_423,plain,
add(multiplicative_identity,multiplicative_identity) = multiplicative_identity,
inference(demodulation,[status(thm)],[c_373,c_62]) ).
cnf(c_519,plain,
add(multiply(X0,multiplicative_identity),multiplicative_identity) = multiply(add(multiplicative_identity,X0),multiplicative_identity),
inference(superposition,[status(thm)],[c_423,c_223]) ).
cnf(c_525,plain,
multiply(add(multiplicative_identity,X0),multiplicative_identity) = add(X0,multiplicative_identity),
inference(light_normalisation,[status(thm)],[c_519,c_60]) ).
cnf(c_569,plain,
add(X0,multiply(X1,X0)) = multiply(add(multiplicative_identity,X1),X0),
inference(superposition,[status(thm)],[c_61,c_54]) ).
cnf(c_670,plain,
add(X0,multiply(multiplicative_identity,X1)) = multiply(multiplicative_identity,add(X0,X1)),
inference(superposition,[status(thm)],[c_61,c_55]) ).
cnf(c_1122,plain,
add(inverse(X0),multiply(X0,X1)) = add(X1,inverse(X0)),
inference(demodulation,[status(thm)],[c_225,c_50,c_61,c_670]) ).
cnf(c_1131,plain,
add(inverse(X0),X0) = add(multiplicative_identity,inverse(X0)),
inference(superposition,[status(thm)],[c_60,c_1122]) ).
cnf(c_1210,plain,
add(multiplicative_identity,inverse(X0)) = multiplicative_identity,
inference(demodulation,[status(thm)],[c_1131,c_50,c_56]) ).
cnf(c_1217,plain,
add(multiplicative_identity,multiply(X0,inverse(X1))) = multiply(add(multiplicative_identity,X0),multiplicative_identity),
inference(superposition,[status(thm)],[c_1210,c_53]) ).
cnf(c_1220,plain,
add(multiplicative_identity,multiply(X0,inverse(X1))) = add(X0,multiplicative_identity),
inference(light_normalisation,[status(thm)],[c_1217,c_525]) ).
cnf(c_1381,plain,
add(X0,multiplicative_identity) = add(multiplicative_identity,additive_identity),
inference(superposition,[status(thm)],[c_58,c_1220]) ).
cnf(c_1432,plain,
add(X0,multiplicative_identity) = multiplicative_identity,
inference(demodulation,[status(thm)],[c_1381,c_62]) ).
cnf(c_1449,plain,
add(multiplicative_identity,X0) = multiplicative_identity,
inference(superposition,[status(thm)],[c_1432,c_50]) ).
cnf(c_1909,plain,
add(X0,multiply(X1,X0)) = X0,
inference(demodulation,[status(thm)],[c_569,c_61,c_1449]) ).
cnf(c_1930,plain,
add(X0,X0) = X0,
inference(superposition,[status(thm)],[c_61,c_1909]) ).
cnf(c_1970,plain,
a = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_143,c_1930]) ).
cnf(c_1971,plain,
sP0_iProver_def != sP0_iProver_def,
inference(demodulation,[status(thm)],[c_144,c_1970]) ).
cnf(c_1972,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_1971]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : BOO004-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.10 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n005.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 21:37:41 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.42 Running UEQ theorem proving
% 0.16/0.42 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
% 0.41/1.11 % SZS status Started for theBenchmark.p
% 0.41/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 0.41/1.11
% 0.41/1.11 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.41/1.11
% 0.41/1.11 ------ iProver source info
% 0.41/1.11
% 0.41/1.11 git: date: 2024-05-02 19:28:25 +0000
% 0.41/1.11 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.41/1.11 git: non_committed_changes: false
% 0.41/1.11
% 0.41/1.11 ------ Parsing...successful
% 0.41/1.11
% 0.41/1.11
% 0.41/1.11
% 0.41/1.11 ------ Preprocessing... sup_sim: 4 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
% 0.41/1.11
% 0.41/1.11 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.41/1.11
% 0.41/1.11 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.41/1.11 ------ Proving...
% 0.41/1.11 ------ Problem Properties
% 0.41/1.11
% 0.41/1.11
% 0.41/1.11 clauses 14
% 0.41/1.11 conjectures 1
% 0.41/1.11 EPR 1
% 0.41/1.11 Horn 14
% 0.41/1.11 unary 14
% 0.41/1.11 binary 0
% 0.41/1.11 lits 14
% 0.41/1.11 lits eq 14
% 0.41/1.11 fd_pure 0
% 0.41/1.11 fd_pseudo 0
% 0.41/1.11 fd_cond 0
% 0.41/1.11 fd_pseudo_cond 0
% 0.41/1.11 AC symbols 0
% 0.41/1.11
% 0.41/1.11 ------ Input Options Time Limit: Unbounded
% 0.41/1.11
% 0.41/1.11
% 0.41/1.11 ------
% 0.41/1.11 Current options:
% 0.41/1.11 ------
% 0.41/1.11
% 0.41/1.11
% 0.41/1.11
% 0.41/1.11
% 0.41/1.11 ------ Proving...
% 0.41/1.11
% 0.41/1.11
% 0.41/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 0.41/1.11
% 0.41/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.41/1.11
% 0.41/1.11
%------------------------------------------------------------------------------