TSTP Solution File: BOO005-2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : BOO005-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 3.65s 1.22s
% Output : CNFRefutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of clauses : 37 ( 37 unt; 0 nHn; 5 RR)
% Number of literals : 37 ( 36 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 49 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
add(a,multiplicative_identity) != multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_plus_1_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_51,plain,
multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',commutativity_of_multiply) ).
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_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_108,plain,
add(multiplicative_identity,a) != multiplicative_identity,
inference(demodulation,[status(thm)],[c_49,c_50]) ).
cnf(c_221,plain,
multiply(add(X0,X1),add(X2,X0)) = add(multiply(X1,X2),X0),
inference(superposition,[status(thm)],[c_50,c_52]) ).
cnf(c_223,plain,
add(multiply(X0,X1),inverse(X0)) = multiply(multiplicative_identity,add(X1,inverse(X0))),
inference(superposition,[status(thm)],[c_56,c_52]) ).
cnf(c_225,plain,
multiply(X0,add(X1,X0)) = add(multiply(additive_identity,X1),X0),
inference(superposition,[status(thm)],[c_63,c_52]) ).
cnf(c_245,plain,
multiply(X0,add(X0,X1)) = add(X0,multiply(additive_identity,X1)),
inference(superposition,[status(thm)],[c_62,c_53]) ).
cnf(c_270,plain,
add(multiply(additive_identity,X0),multiplicative_identity) = add(X0,multiplicative_identity),
inference(superposition,[status(thm)],[c_225,c_61]) ).
cnf(c_306,plain,
add(multiplicative_identity,multiply(additive_identity,X0)) = add(X0,multiplicative_identity),
inference(demodulation,[status(thm)],[c_270,c_50]) ).
cnf(c_307,plain,
add(multiplicative_identity,multiply(X0,additive_identity)) = add(X0,multiplicative_identity),
inference(superposition,[status(thm)],[c_51,c_306]) ).
cnf(c_310,plain,
add(multiplicative_identity,multiplicative_identity) = add(multiplicative_identity,additive_identity),
inference(superposition,[status(thm)],[c_60,c_306]) ).
cnf(c_345,plain,
add(multiplicative_identity,multiplicative_identity) = multiplicative_identity,
inference(demodulation,[status(thm)],[c_310,c_62]) ).
cnf(c_541,plain,
add(multiply(X0,multiplicative_identity),multiplicative_identity) = multiply(add(multiplicative_identity,X0),multiplicative_identity),
inference(superposition,[status(thm)],[c_345,c_221]) ).
cnf(c_553,plain,
multiply(add(multiplicative_identity,X0),multiplicative_identity) = add(X0,multiplicative_identity),
inference(light_normalisation,[status(thm)],[c_541,c_60]) ).
cnf(c_714,plain,
add(X0,multiply(multiplicative_identity,X1)) = multiply(multiplicative_identity,add(X0,X1)),
inference(superposition,[status(thm)],[c_61,c_55]) ).
cnf(c_973,plain,
add(multiplicative_identity,multiply(additive_identity,X0)) = add(multiplicative_identity,X0),
inference(superposition,[status(thm)],[c_245,c_61]) ).
cnf(c_1060,plain,
add(multiplicative_identity,multiply(X0,additive_identity)) = add(multiplicative_identity,X0),
inference(superposition,[status(thm)],[c_51,c_973]) ).
cnf(c_1162,plain,
add(inverse(X0),multiply(X0,X1)) = add(X1,inverse(X0)),
inference(demodulation,[status(thm)],[c_223,c_50,c_61,c_714]) ).
cnf(c_1171,plain,
add(inverse(X0),X0) = add(multiplicative_identity,inverse(X0)),
inference(superposition,[status(thm)],[c_60,c_1162]) ).
cnf(c_1275,plain,
add(multiplicative_identity,inverse(X0)) = multiplicative_identity,
inference(demodulation,[status(thm)],[c_1171,c_50,c_56]) ).
cnf(c_1283,plain,
add(multiplicative_identity,multiply(X0,inverse(X1))) = multiply(add(multiplicative_identity,X0),multiplicative_identity),
inference(superposition,[status(thm)],[c_1275,c_53]) ).
cnf(c_1287,plain,
add(multiplicative_identity,multiply(X0,inverse(X1))) = add(X0,multiplicative_identity),
inference(light_normalisation,[status(thm)],[c_1283,c_553]) ).
cnf(c_1589,plain,
add(X0,multiplicative_identity) = add(multiplicative_identity,additive_identity),
inference(superposition,[status(thm)],[c_58,c_1287]) ).
cnf(c_1650,plain,
add(X0,multiplicative_identity) = multiplicative_identity,
inference(demodulation,[status(thm)],[c_1589,c_62]) ).
cnf(c_1652,plain,
add(multiplicative_identity,multiply(X0,additive_identity)) = multiplicative_identity,
inference(demodulation,[status(thm)],[c_307,c_1650]) ).
cnf(c_1655,plain,
add(multiplicative_identity,X0) = multiplicative_identity,
inference(demodulation,[status(thm)],[c_1060,c_1652]) ).
cnf(c_1656,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_108,c_1655]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : BOO005-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.08/0.15 % Command : run_iprover %s %d THM
% 0.15/0.37 % Computer : n007.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu May 2 21:29:35 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.23/0.52 Running UEQ theorem proving
% 0.23/0.52 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
% 3.65/1.22 % SZS status Started for theBenchmark.p
% 3.65/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 3.65/1.22
% 3.65/1.22 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.65/1.22
% 3.65/1.22 ------ iProver source info
% 3.65/1.22
% 3.65/1.22 git: date: 2024-05-02 19:28:25 +0000
% 3.65/1.22 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.65/1.22 git: non_committed_changes: false
% 3.65/1.22
% 3.65/1.22 ------ Parsing...successful
% 3.65/1.22
% 3.65/1.22
% 3.65/1.22
% 3.65/1.22 ------ Preprocessing... sup_sim: 5 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
% 3.65/1.22
% 3.65/1.22 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.65/1.22
% 3.65/1.22 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.65/1.22 ------ Proving...
% 3.65/1.22 ------ Problem Properties
% 3.65/1.22
% 3.65/1.22
% 3.65/1.22 clauses 13
% 3.65/1.22 conjectures 0
% 3.65/1.22 EPR 0
% 3.65/1.22 Horn 13
% 3.65/1.22 unary 13
% 3.65/1.22 binary 0
% 3.65/1.22 lits 13
% 3.65/1.22 lits eq 13
% 3.65/1.22 fd_pure 0
% 3.65/1.22 fd_pseudo 0
% 3.65/1.22 fd_cond 0
% 3.65/1.22 fd_pseudo_cond 0
% 3.65/1.22 AC symbols 0
% 3.65/1.22
% 3.65/1.22 ------ Input Options Time Limit: Unbounded
% 3.65/1.22
% 3.65/1.22
% 3.65/1.22 ------
% 3.65/1.22 Current options:
% 3.65/1.22 ------
% 3.65/1.22
% 3.65/1.22
% 3.65/1.22
% 3.65/1.22
% 3.65/1.22 ------ Proving...
% 3.65/1.22
% 3.65/1.22
% 3.65/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 3.65/1.22
% 3.65/1.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.65/1.22
% 3.65/1.22
%------------------------------------------------------------------------------