TSTP Solution File: RNG008-3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : RNG008-3 : 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 : Thu Aug 31 13:54:38 EDT 2023
% Result : Unsatisfiable 3.76s 1.16s
% Output : CNFRefutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of clauses : 42 ( 42 unt; 0 nHn; 5 RR)
% Number of literals : 42 ( 41 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 72 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
add(X0,additive_identity) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
cnf(c_50,plain,
add(X0,additive_inverse(X0)) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
cnf(c_51,plain,
multiply(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',boolean_ring) ).
cnf(c_52,negated_conjecture,
multiply(a,b) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b_is_c) ).
cnf(c_53,negated_conjecture,
multiply(b,a) != c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity) ).
cnf(c_54,plain,
add(additive_identity,X0) = X0,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/RNG002-0.ax',distribute2) ).
cnf(c_59,plain,
additive_inverse(additive_inverse(X0)) = X0,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/RNG002-0.ax',associative_addition) ).
cnf(c_66,plain,
add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/RNG002-0.ax',commutative_addition) ).
cnf(c_67,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/RNG002-0.ax',associative_multiplication) ).
cnf(c_233,plain,
add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
inference(superposition,[status(thm)],[c_65,c_66]) ).
cnf(c_246,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_276,plain,
additive_inverse(multiply(X0,additive_inverse(X0))) = additive_inverse(X0),
inference(superposition,[status(thm)],[c_64,c_51]) ).
cnf(c_283,plain,
add(X0,add(additive_inverse(X0),X1)) = add(additive_identity,X1),
inference(superposition,[status(thm)],[c_50,c_65]) ).
cnf(c_310,plain,
multiply(X0,multiply(X0,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_51,c_67]) ).
cnf(c_318,plain,
multiply(X0,multiply(X1,multiply(X0,X1))) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_67,c_51]) ).
cnf(c_330,plain,
add(X0,add(X1,additive_inverse(X0))) = add(X1,additive_identity),
inference(superposition,[status(thm)],[c_50,c_233]) ).
cnf(c_340,plain,
additive_inverse(X0) = X0,
inference(demodulation,[status(thm)],[c_276,c_51,c_59,c_63]) ).
cnf(c_346,plain,
add(X0,add(X1,X0)) = add(X1,additive_identity),
inference(demodulation,[status(thm)],[c_330,c_340]) ).
cnf(c_347,plain,
add(X0,add(X1,X0)) = X1,
inference(demodulation,[status(thm)],[c_346,c_49]) ).
cnf(c_354,plain,
add(X0,add(X0,X1)) = add(additive_identity,X1),
inference(demodulation,[status(thm)],[c_283,c_340]) ).
cnf(c_355,plain,
add(X0,add(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_354,c_54]) ).
cnf(c_365,plain,
add(add(X0,multiply(X0,X1)),add(multiply(X1,X0),X1)) = add(X0,X1),
inference(demodulation,[status(thm)],[c_246,c_51,c_56]) ).
cnf(c_366,plain,
add(X0,add(X1,add(multiply(X0,X1),multiply(X1,X0)))) = add(X0,X1),
inference(theory_normalisation,[status(thm)],[c_365,c_65,c_66]) ).
cnf(c_974,plain,
add(multiply(X0,X1),add(X0,add(multiply(multiply(X0,X1),X0),multiply(X0,X1)))) = add(multiply(X0,X1),X0),
inference(superposition,[status(thm)],[c_310,c_366]) ).
cnf(c_978,plain,
add(X0,add(multiply(X1,X0),multiply(X0,X1))) = add(X1,add(X1,X0)),
inference(superposition,[status(thm)],[c_366,c_355]) ).
cnf(c_1085,plain,
add(X0,add(multiply(X1,X0),multiply(X0,X1))) = X0,
inference(demodulation,[status(thm)],[c_978,c_355]) ).
cnf(c_1114,plain,
add(multiply(X0,X1),add(X0,add(multiply(X0,multiply(X1,X0)),multiply(X0,X1)))) = add(multiply(X0,X1),X0),
inference(demodulation,[status(thm)],[c_974,c_67]) ).
cnf(c_1115,plain,
add(X0,add(multiply(X0,X1),add(multiply(X0,X1),multiply(X0,multiply(X1,X0))))) = add(X0,multiply(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_1114,c_65,c_66]) ).
cnf(c_1116,plain,
add(X0,multiply(X0,multiply(X1,X0))) = add(X0,multiply(X0,X1)),
inference(demodulation,[status(thm)],[c_1115,c_355]) ).
cnf(c_1398,plain,
add(multiply(X0,multiply(X1,X0)),add(multiply(X1,X0),multiply(multiply(X0,multiply(X1,X0)),X1))) = multiply(X0,multiply(X1,X0)),
inference(superposition,[status(thm)],[c_318,c_1085]) ).
cnf(c_1449,plain,
add(X0,add(X0,multiply(X0,X1))) = multiply(X0,multiply(X1,X0)),
inference(superposition,[status(thm)],[c_1116,c_355]) ).
cnf(c_2095,plain,
multiply(X0,multiply(X1,X0)) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_1449,c_355]) ).
cnf(c_2255,plain,
add(multiply(X0,X1),add(multiply(X1,X0),multiply(multiply(X0,X1),X1))) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_1398,c_2095]) ).
cnf(c_2256,plain,
multiply(X0,X1) = multiply(X1,X0),
inference(demodulation,[status(thm)],[c_2255,c_51,c_67,c_347]) ).
cnf(c_2947,plain,
multiply(a,b) != c,
inference(superposition,[status(thm)],[c_2256,c_53]) ).
cnf(c_3339,plain,
c != c,
inference(demodulation,[status(thm)],[c_2947,c_52]) ).
cnf(c_3340,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_3339]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG008-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % 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 : Sun Aug 27 02:44:10 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.47 Running UEQ theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_29_ueq --heuristic_context ueq --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.76/1.16 % SZS status Started for theBenchmark.p
% 3.76/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.76/1.16
% 3.76/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.76/1.16
% 3.76/1.16 ------ iProver source info
% 3.76/1.16
% 3.76/1.16 git: date: 2023-05-31 18:12:56 +0000
% 3.76/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.76/1.16 git: non_committed_changes: false
% 3.76/1.16 git: last_make_outside_of_git: false
% 3.76/1.16
% 3.76/1.16 ------ Parsing...successful
% 3.76/1.16
% 3.76/1.16
% 3.76/1.16
% 3.76/1.16 ------ 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
% 3.76/1.16
% 3.76/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.76/1.16
% 3.76/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.76/1.16 ------ Proving...
% 3.76/1.16 ------ Problem Properties
% 3.76/1.16
% 3.76/1.16
% 3.76/1.16 clauses 18
% 3.76/1.16 conjectures 2
% 3.76/1.16 EPR 0
% 3.76/1.16 Horn 18
% 3.76/1.16 unary 18
% 3.76/1.16 binary 0
% 3.76/1.16 lits 18
% 3.76/1.16 lits eq 18
% 3.76/1.16 fd_pure 0
% 3.76/1.16 fd_pseudo 0
% 3.76/1.16 fd_cond 0
% 3.76/1.16 fd_pseudo_cond 0
% 3.76/1.16 AC symbols 1
% 3.76/1.16
% 3.76/1.16 ------ Input Options Time Limit: Unbounded
% 3.76/1.16
% 3.76/1.16
% 3.76/1.16 ------
% 3.76/1.16 Current options:
% 3.76/1.16 ------
% 3.76/1.16
% 3.76/1.16
% 3.76/1.16
% 3.76/1.16
% 3.76/1.16 ------ Proving...
% 3.76/1.16
% 3.76/1.16
% 3.76/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.76/1.16
% 3.76/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.76/1.16
% 3.76/1.16
%------------------------------------------------------------------------------