TSTP Solution File: RNG026-7 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : RNG026-7 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.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 : Thu Aug 31 13:54:45 EDT 2023
% Result : Unsatisfiable 3.56s 1.15s
% Output : CNFRefutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of clauses : 29 ( 29 unt; 0 nHn; 14 RR)
% Number of literals : 29 ( 28 equ; 13 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 34 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_51,plain,
additive_inverse(multiply(X0,X1)) = multiply(X0,additive_inverse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_product2) ).
cnf(c_52,plain,
add(multiply(X0,X1),additive_inverse(multiply(X0,X2))) = multiply(X0,add(X1,additive_inverse(X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity_of_difference1) ).
cnf(c_56,negated_conjecture,
add(add(associator(multiply(a,b),c,d),associator(a,b,multiply(c,d))),additive_inverse(add(add(associator(a,multiply(b,c),d),multiply(a,associator(b,c,d))),multiply(associator(a,b,c),d)))) != additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_teichmuller_identity) ).
cnf(c_57,plain,
add(additive_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',left_additive_identity) ).
cnf(c_58,plain,
add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',right_additive_identity) ).
cnf(c_60,plain,
multiply(X0,additive_identity) = additive_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',right_multiplicative_zero) ).
cnf(c_62,plain,
add(X0,additive_inverse(X0)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',right_additive_inverse) ).
cnf(c_65,plain,
add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,X2),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',distribute2) ).
cnf(c_66,plain,
add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',commutativity_for_addition) ).
cnf(c_67,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_70,plain,
add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))) = associator(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',associator) ).
cnf(c_91,negated_conjecture,
add(associator(a,b,multiply(c,d)),add(additive_inverse(add(multiply(associator(a,b,c),d),add(associator(a,multiply(b,c),d),multiply(a,associator(b,c,d))))),associator(multiply(a,b),c,d))) != additive_identity,
inference(theory_normalisation,[status(thm)],[c_56,c_67,c_66]) ).
cnf(c_93,plain,
add(additive_inverse(multiply(X0,multiply(X1,X2))),multiply(multiply(X0,X1),X2)) = associator(X0,X1,X2),
inference(theory_normalisation,[status(thm)],[c_70,c_67,c_66]) ).
cnf(c_635,plain,
add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
inference(superposition,[status(thm)],[c_67,c_66]) ).
cnf(c_767,plain,
add(X0,add(X1,additive_inverse(add(X0,X1)))) = additive_identity,
inference(superposition,[status(thm)],[c_67,c_62]) ).
cnf(c_840,plain,
add(associator(a,b,multiply(c,d)),add(additive_inverse(add(multiply(associator(a,b,c),d),add(associator(a,multiply(b,c),d),multiply(a,add(additive_inverse(multiply(b,multiply(c,d))),multiply(multiply(b,c),d)))))),associator(multiply(a,b),c,d))) != additive_identity,
inference(superposition,[status(thm)],[c_93,c_91]) ).
cnf(c_942,plain,
add(add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),multiply(multiply(a,b),multiply(c,d))),add(additive_inverse(add(multiply(add(additive_inverse(multiply(a,multiply(b,c))),multiply(multiply(a,b),c)),d),add(add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),multiply(multiply(a,multiply(b,c)),d)),multiply(a,add(additive_inverse(multiply(b,multiply(c,d))),multiply(multiply(b,c),d)))))),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),multiply(multiply(multiply(a,b),c),d)))) != additive_identity,
inference(demodulation,[status(thm)],[c_840,c_93]) ).
cnf(c_943,plain,
add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(multiply(a,multiply(b,c)),d),add(multiply(add(additive_inverse(multiply(a,multiply(b,c))),multiply(multiply(a,b),c)),d),multiply(a,add(additive_inverse(multiply(b,multiply(c,d))),multiply(multiply(b,c),d))))))))))) != additive_identity,
inference(theory_normalisation,[status(thm)],[c_942,c_67,c_66]) ).
cnf(c_944,plain,
add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,add(additive_inverse(multiply(b,multiply(c,d))),multiply(multiply(b,c),d))),multiply(add(add(additive_inverse(multiply(a,multiply(b,c))),multiply(multiply(a,b),c)),multiply(a,multiply(b,c))),d)))))))) != additive_identity,
inference(ac_demodulation,[status(thm)],[c_943,c_65,c_67,c_66]) ).
cnf(c_945,plain,
add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(multiply(add(multiply(multiply(a,b),c),additive_identity),d),multiply(a,add(add(additive_inverse(multiply(b,multiply(c,d))),multiply(multiply(b,c),d)),additive_inverse(multiply(multiply(b,c),d)))))))))) != additive_identity,
inference(ac_demodulation,[status(thm)],[c_944,c_52,c_62,c_67,c_66]) ).
cnf(c_946,plain,
add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(multiply(multiply(multiply(a,b),c),d),multiply(a,add(add(additive_inverse(multiply(b,multiply(c,d))),multiply(multiply(b,c),d)),additive_inverse(multiply(multiply(b,c),d)))))))))) != additive_identity,
inference(ac_demodulation,[status(thm)],[c_945,c_57,c_67,c_66]) ).
cnf(c_947,plain,
add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(multiply(multiply(multiply(a,b),c),d),multiply(a,add(additive_inverse(multiply(b,multiply(c,d))),add(multiply(multiply(b,c),d),additive_inverse(multiply(multiply(b,c),d))))))))))) != additive_identity,
inference(theory_normalisation,[status(thm)],[c_946,c_67,c_66]) ).
cnf(c_948,plain,
add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(multiply(multiply(multiply(a,b),c),d),additive_inverse(multiply(a,multiply(b,multiply(c,d)))))))))) != additive_identity,
inference(demodulation,[status(thm)],[c_947,c_51,c_52,c_58,c_60,c_62]) ).
cnf(c_949,plain,
add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),multiply(multiply(multiply(a,b),c),d))))))) != additive_identity,
inference(theory_normalisation,[status(thm)],[c_948,c_67,c_66]) ).
cnf(c_1218,plain,
add(X0,add(X1,add(X2,additive_inverse(add(X0,X2))))) = add(X1,additive_identity),
inference(superposition,[status(thm)],[c_767,c_635]) ).
cnf(c_1919,plain,
add(X0,add(X1,add(X2,additive_inverse(add(X0,X2))))) = X1,
inference(demodulation,[status(thm)],[c_1218,c_58]) ).
cnf(c_1920,plain,
add(multiply(multiply(a,b),multiply(c,d)),additive_inverse(multiply(multiply(a,b),multiply(c,d)))) != additive_identity,
inference(ac_demodulation,[status(thm)],[c_949,c_1919,c_67,c_66]) ).
cnf(c_1921,plain,
additive_identity != additive_identity,
inference(demodulation,[status(thm)],[c_1920,c_52,c_60,c_62]) ).
cnf(c_1922,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_1921]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG026-7 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n013.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 : Sun Aug 27 01:36:47 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running UEQ theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_29_ueq --heuristic_context ueq --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.56/1.15 % SZS status Started for theBenchmark.p
% 3.56/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.56/1.15
% 3.56/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.56/1.15
% 3.56/1.15 ------ iProver source info
% 3.56/1.15
% 3.56/1.15 git: date: 2023-05-31 18:12:56 +0000
% 3.56/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.56/1.15 git: non_committed_changes: false
% 3.56/1.15 git: last_make_outside_of_git: false
% 3.56/1.15
% 3.56/1.15 ------ Parsing...successful
% 3.56/1.15
% 3.56/1.15
% 3.56/1.15
% 3.56/1.15 ------ 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
% 3.56/1.15
% 3.56/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.56/1.15
% 3.56/1.15 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.56/1.15 ------ Proving...
% 3.56/1.15 ------ Problem Properties
% 3.56/1.15
% 3.56/1.15
% 3.56/1.15 clauses 22
% 3.56/1.15 conjectures 1
% 3.56/1.15 EPR 0
% 3.56/1.15 Horn 22
% 3.56/1.15 unary 22
% 3.56/1.15 binary 0
% 3.56/1.15 lits 22
% 3.56/1.15 lits eq 22
% 3.56/1.15 fd_pure 0
% 3.56/1.15 fd_pseudo 0
% 3.56/1.15 fd_cond 0
% 3.56/1.15 fd_pseudo_cond 0
% 3.56/1.15 AC symbols 1
% 3.56/1.15
% 3.56/1.15 ------ Input Options Time Limit: Unbounded
% 3.56/1.15
% 3.56/1.15
% 3.56/1.15 ------
% 3.56/1.15 Current options:
% 3.56/1.15 ------
% 3.56/1.15
% 3.56/1.15
% 3.56/1.15
% 3.56/1.15
% 3.56/1.15 ------ Proving...
% 3.56/1.15
% 3.56/1.15
% 3.56/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.56/1.15
% 3.56/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.56/1.15
% 3.56/1.15
%------------------------------------------------------------------------------