TSTP Solution File: BOO024-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : BOO024-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.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 02:08:39 EDT 2024
% Result : Unsatisfiable 0.42s 1.11s
% Output : CNFRefutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 7
% Syntax : Number of clauses : 86 ( 86 unt; 0 nHn; 5 RR)
% Number of literals : 86 ( 85 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; 3 con; 0-3 aty)
% Number of variables : 138 ( 36 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
multiply(add(X0,X1),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_add) ).
cnf(c_50,plain,
add(multiply(X0,X1),multiply(X2,X1)) = multiply(X1,add(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_add_property) ).
cnf(c_51,plain,
add(X0,inverse(X0)) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse) ).
cnf(c_52,plain,
add(multiply(X0,inverse(X1)),add(multiply(X0,X2),multiply(inverse(X1),X2))) = pixley(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pixley_defn) ).
cnf(c_53,plain,
pixley(X0,X0,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pixley1) ).
cnf(c_55,plain,
pixley(X0,X1,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pixley3) ).
cnf(c_56,negated_conjecture,
add(multiply(a,b),b) != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_add_multiply) ).
cnf(c_78,plain,
add(multiply(X0,inverse(X1)),multiply(X2,add(X0,inverse(X1)))) = pixley(X0,X1,X2),
inference(demodulation,[status(thm)],[c_52,c_50]) ).
cnf(c_127,plain,
multiply(n1,inverse(X0)) = inverse(X0),
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_129,plain,
multiply(X0,add(add(X1,X0),X2)) = add(X0,multiply(X2,X0)),
inference(superposition,[status(thm)],[c_49,c_50]) ).
cnf(c_130,plain,
add(inverse(X0),multiply(X1,inverse(X0))) = multiply(inverse(X0),add(n1,X1)),
inference(superposition,[status(thm)],[c_127,c_50]) ).
cnf(c_131,plain,
multiply(X0,add(X1,add(X2,X0))) = add(multiply(X1,X0),X0),
inference(superposition,[status(thm)],[c_49,c_50]) ).
cnf(c_133,plain,
multiply(multiply(X0,add(X1,X2)),multiply(X2,X0)) = multiply(X2,X0),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_165,plain,
add(multiply(X0,inverse(X0)),multiply(X1,n1)) = pixley(X0,X0,X1),
inference(superposition,[status(thm)],[c_51,c_78]) ).
cnf(c_169,plain,
add(multiply(X0,inverse(X0)),multiply(X1,n1)) = X1,
inference(light_normalisation,[status(thm)],[c_165,c_53]) ).
cnf(c_178,plain,
add(inverse(n1),multiply(X0,n1)) = X0,
inference(superposition,[status(thm)],[c_127,c_169]) ).
cnf(c_179,plain,
add(multiply(X0,inverse(X0)),n1) = add(X1,n1),
inference(superposition,[status(thm)],[c_49,c_169]) ).
cnf(c_180,plain,
multiply(X0,multiply(X0,n1)) = multiply(X0,n1),
inference(superposition,[status(thm)],[c_169,c_49]) ).
cnf(c_200,plain,
add(X0,n1) = add(X1,n1),
inference(superposition,[status(thm)],[c_179,c_179]) ).
cnf(c_221,plain,
add(X0,multiply(n1,X0)) = multiply(X0,add(X1,n1)),
inference(superposition,[status(thm)],[c_200,c_129]) ).
cnf(c_230,plain,
multiply(inverse(X0),add(X1,n1)) = add(inverse(X0),inverse(X0)),
inference(superposition,[status(thm)],[c_127,c_221]) ).
cnf(c_232,plain,
multiply(multiply(n1,n1),add(X0,n1)) = add(multiply(n1,n1),multiply(n1,n1)),
inference(superposition,[status(thm)],[c_180,c_221]) ).
cnf(c_240,plain,
multiply(X0,add(X1,n1)) = multiply(X0,add(X2,n1)),
inference(superposition,[status(thm)],[c_221,c_221]) ).
cnf(c_278,plain,
multiply(add(X0,add(X1,n1)),add(X2,n1)) = add(X1,n1),
inference(superposition,[status(thm)],[c_240,c_49]) ).
cnf(c_304,plain,
multiply(multiply(inverse(X0),add(X1,n1)),inverse(X0)) = inverse(X0),
inference(superposition,[status(thm)],[c_230,c_49]) ).
cnf(c_347,plain,
add(add(X0,add(X1,n1)),add(multiply(X0,n1),n1)) = multiply(add(X0,add(X1,n1)),add(X2,n1)),
inference(superposition,[status(thm)],[c_131,c_221]) ).
cnf(c_350,plain,
add(add(X0,add(X1,n1)),add(multiply(X0,n1),n1)) = add(X1,n1),
inference(light_normalisation,[status(thm)],[c_347,c_278]) ).
cnf(c_358,plain,
multiply(add(X0,X1),multiply(X1,add(X2,add(X0,X1)))) = multiply(X1,add(X2,add(X0,X1))),
inference(superposition,[status(thm)],[c_49,c_133]) ).
cnf(c_366,plain,
multiply(multiply(X0,n1),multiply(inverse(X1),X0)) = multiply(inverse(X1),X0),
inference(superposition,[status(thm)],[c_51,c_133]) ).
cnf(c_430,plain,
multiply(n1,multiply(inverse(X0),add(X1,n1))) = multiply(inverse(X0),add(X1,n1)),
inference(superposition,[status(thm)],[c_49,c_366]) ).
cnf(c_495,plain,
multiply(n1,add(inverse(X0),inverse(X0))) = add(inverse(X0),inverse(X0)),
inference(superposition,[status(thm)],[c_230,c_430]) ).
cnf(c_535,plain,
add(multiply(inverse(X0),inverse(X0)),add(inverse(X0),inverse(X0))) = pixley(inverse(X0),X0,n1),
inference(superposition,[status(thm)],[c_495,c_78]) ).
cnf(c_561,plain,
multiply(multiply(n1,n1),add(X0,n1)) = multiply(n1,add(n1,n1)),
inference(superposition,[status(thm)],[c_232,c_50]) ).
cnf(c_596,plain,
add(add(X0,add(X1,n1)),add(X2,n1)) = add(X1,n1),
inference(superposition,[status(thm)],[c_200,c_350]) ).
cnf(c_622,plain,
add(add(X0,n1),add(X1,n1)) = add(X2,n1),
inference(superposition,[status(thm)],[c_596,c_596]) ).
cnf(c_662,plain,
multiply(add(X0,n1),add(X1,n1)) = add(X1,n1),
inference(superposition,[status(thm)],[c_622,c_49]) ).
cnf(c_666,plain,
add(n1,multiply(add(X0,n1),n1)) = multiply(n1,add(X1,n1)),
inference(superposition,[status(thm)],[c_622,c_129]) ).
cnf(c_814,plain,
multiply(n1,add(X0,n1)) = add(n1,n1),
inference(superposition,[status(thm)],[c_49,c_666]) ).
cnf(c_849,plain,
multiply(multiply(n1,n1),add(X0,n1)) = add(n1,n1),
inference(demodulation,[status(thm)],[c_561,c_814]) ).
cnf(c_877,plain,
add(multiply(X0,add(X1,n1)),add(n1,n1)) = multiply(add(X1,n1),add(X0,n1)),
inference(superposition,[status(thm)],[c_814,c_50]) ).
cnf(c_900,plain,
add(multiply(X0,add(X1,n1)),add(n1,n1)) = multiply(add(X1,n1),add(X0,multiply(n1,n1))),
inference(superposition,[status(thm)],[c_849,c_50]) ).
cnf(c_906,plain,
multiply(add(X0,n1),add(X1,multiply(n1,n1))) = multiply(add(X0,n1),add(X1,n1)),
inference(light_normalisation,[status(thm)],[c_900,c_877]) ).
cnf(c_907,plain,
multiply(add(X0,n1),add(X1,multiply(n1,n1))) = add(X1,n1),
inference(light_normalisation,[status(thm)],[c_906,c_662]) ).
cnf(c_920,plain,
multiply(add(X0,n1),n1) = add(inverse(n1),n1),
inference(superposition,[status(thm)],[c_178,c_907]) ).
cnf(c_975,plain,
add(inverse(n1),n1) = n1,
inference(superposition,[status(thm)],[c_920,c_49]) ).
cnf(c_1018,plain,
add(X0,n1) = n1,
inference(superposition,[status(thm)],[c_975,c_200]) ).
cnf(c_1033,plain,
multiply(multiply(inverse(X0),n1),inverse(X0)) = inverse(X0),
inference(demodulation,[status(thm)],[c_304,c_1018]) ).
cnf(c_1034,plain,
add(inverse(X0),inverse(X0)) = multiply(inverse(X0),n1),
inference(demodulation,[status(thm)],[c_230,c_1018]) ).
cnf(c_1036,plain,
add(X0,multiply(n1,X0)) = multiply(X0,n1),
inference(demodulation,[status(thm)],[c_221,c_1018]) ).
cnf(c_1039,plain,
add(multiply(inverse(X0),inverse(X0)),multiply(inverse(X0),n1)) = pixley(inverse(X0),X0,n1),
inference(demodulation,[status(thm)],[c_535,c_1034]) ).
cnf(c_1040,plain,
multiply(n1,multiply(inverse(X0),n1)) = multiply(inverse(X0),n1),
inference(demodulation,[status(thm)],[c_495,c_1034]) ).
cnf(c_1164,plain,
multiply(inverse(X0),add(multiply(inverse(X0),n1),X1)) = add(inverse(X0),multiply(X1,inverse(X0))),
inference(superposition,[status(thm)],[c_1033,c_50]) ).
cnf(c_1167,plain,
multiply(inverse(X0),add(n1,multiply(inverse(X0),n1))) = add(inverse(X0),inverse(X0)),
inference(superposition,[status(thm)],[c_1033,c_130]) ).
cnf(c_1168,plain,
multiply(inverse(X0),add(n1,multiply(inverse(X0),n1))) = multiply(inverse(X0),n1),
inference(light_normalisation,[status(thm)],[c_1167,c_1034]) ).
cnf(c_1169,plain,
multiply(inverse(X0),add(multiply(inverse(X0),n1),X1)) = multiply(inverse(X0),add(n1,X1)),
inference(light_normalisation,[status(thm)],[c_1164,c_130]) ).
cnf(c_1180,plain,
add(multiply(inverse(X0),inverse(X0)),multiply(X1,multiply(inverse(X0),n1))) = pixley(inverse(X0),X0,X1),
inference(superposition,[status(thm)],[c_1034,c_78]) ).
cnf(c_1215,plain,
multiply(inverse(X0),add(n1,multiply(n1,multiply(inverse(X0),n1)))) = multiply(inverse(X0),multiply(multiply(inverse(X0),n1),n1)),
inference(superposition,[status(thm)],[c_1036,c_1169]) ).
cnf(c_1228,plain,
multiply(inverse(X0),multiply(multiply(inverse(X0),n1),n1)) = multiply(inverse(X0),n1),
inference(light_normalisation,[status(thm)],[c_1215,c_1040,c_1168]) ).
cnf(c_1376,plain,
add(multiply(inverse(X0),inverse(X0)),multiply(inverse(X0),n1)) = pixley(inverse(X0),X0,inverse(X0)),
inference(superposition,[status(thm)],[c_180,c_1180]) ).
cnf(c_1385,plain,
pixley(inverse(X0),X0,inverse(X0)) = pixley(inverse(X0),X0,n1),
inference(light_normalisation,[status(thm)],[c_1376,c_1039]) ).
cnf(c_1559,plain,
pixley(inverse(X0),X0,n1) = inverse(X0),
inference(superposition,[status(thm)],[c_1385,c_55]) ).
cnf(c_1595,plain,
multiply(add(X0,X1),add(X1,multiply(add(X0,X1),X1))) = add(X1,multiply(add(X0,X1),X1)),
inference(superposition,[status(thm)],[c_129,c_358]) ).
cnf(c_1623,plain,
multiply(add(X0,X1),add(X1,X1)) = add(X1,X1),
inference(light_normalisation,[status(thm)],[c_1595,c_49]) ).
cnf(c_1803,plain,
multiply(add(X0,multiply(X1,X2)),multiply(X2,add(X1,X1))) = multiply(X2,add(X1,X1)),
inference(superposition,[status(thm)],[c_50,c_1623]) ).
cnf(c_1890,plain,
multiply(add(X0,multiply(n1,X1)),multiply(X1,n1)) = multiply(X1,n1),
inference(superposition,[status(thm)],[c_1018,c_1803]) ).
cnf(c_2665,plain,
multiply(pixley(inverse(X0),X0,n1),multiply(multiply(inverse(X0),n1),n1)) = multiply(multiply(inverse(X0),n1),n1),
inference(superposition,[status(thm)],[c_1180,c_1890]) ).
cnf(c_2694,plain,
multiply(multiply(inverse(X0),n1),n1) = multiply(inverse(X0),n1),
inference(light_normalisation,[status(thm)],[c_2665,c_1228,c_1559]) ).
cnf(c_2723,plain,
add(inverse(n1),multiply(inverse(X0),n1)) = multiply(inverse(X0),n1),
inference(superposition,[status(thm)],[c_2694,c_178]) ).
cnf(c_2767,plain,
multiply(inverse(X0),n1) = inverse(X0),
inference(superposition,[status(thm)],[c_2723,c_178]) ).
cnf(c_2815,plain,
add(inverse(X0),multiply(X1,n1)) = multiply(n1,add(inverse(X0),X1)),
inference(superposition,[status(thm)],[c_2767,c_50]) ).
cnf(c_2839,plain,
multiply(n1,add(inverse(n1),X0)) = X0,
inference(demodulation,[status(thm)],[c_178,c_2815]) ).
cnf(c_3146,plain,
multiply(n1,multiply(n1,add(inverse(n1),X0))) = multiply(X0,n1),
inference(superposition,[status(thm)],[c_2815,c_2839]) ).
cnf(c_3175,plain,
multiply(X0,n1) = multiply(n1,X0),
inference(light_normalisation,[status(thm)],[c_3146,c_2839]) ).
cnf(c_3462,plain,
add(X0,multiply(X0,n1)) = multiply(X0,n1),
inference(superposition,[status(thm)],[c_3175,c_1036]) ).
cnf(c_4206,plain,
add(X0,multiply(n1,X0)) = multiply(n1,X0),
inference(superposition,[status(thm)],[c_3175,c_3462]) ).
cnf(c_4613,plain,
add(add(inverse(n1),X0),X0) = X0,
inference(superposition,[status(thm)],[c_2839,c_4206]) ).
cnf(c_4702,plain,
multiply(X0,X0) = X0,
inference(superposition,[status(thm)],[c_4613,c_49]) ).
cnf(c_4713,plain,
add(X0,multiply(X0,X0)) = multiply(X0,X0),
inference(superposition,[status(thm)],[c_4613,c_129]) ).
cnf(c_4716,plain,
add(multiply(X0,X1),X1) = multiply(X1,add(X0,X1)),
inference(superposition,[status(thm)],[c_4613,c_131]) ).
cnf(c_4759,plain,
multiply(b,add(a,b)) != b,
inference(demodulation,[status(thm)],[c_56,c_4716]) ).
cnf(c_5405,plain,
add(X0,X0) = X0,
inference(light_normalisation,[status(thm)],[c_4713,c_4702]) ).
cnf(c_5429,plain,
multiply(X0,add(X1,X1)) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_5405,c_50]) ).
cnf(c_5499,plain,
multiply(X0,add(X1,add(X0,X0))) = add(X0,X0),
inference(superposition,[status(thm)],[c_5429,c_49]) ).
cnf(c_5524,plain,
multiply(X0,add(X1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_5499,c_5405]) ).
cnf(c_5543,plain,
b != b,
inference(demodulation,[status(thm)],[c_4759,c_5524]) ).
cnf(c_5545,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_5543]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : BOO024-1 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n006.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 21:34:19 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running UEQ theorem proving
% 0.17/0.44 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
% 0.42/1.11 % SZS status Started for theBenchmark.p
% 0.42/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 0.42/1.11
% 0.42/1.11 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.42/1.11
% 0.42/1.11 ------ iProver source info
% 0.42/1.11
% 0.42/1.11 git: date: 2024-05-02 19:28:25 +0000
% 0.42/1.11 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.42/1.11 git: non_committed_changes: false
% 0.42/1.11
% 0.42/1.11 ------ Parsing...successful
% 0.42/1.11
% 0.42/1.11
% 0.42/1.11
% 0.42/1.11 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 0.42/1.11
% 0.42/1.11 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.42/1.11
% 0.42/1.11 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.42/1.11 ------ Proving...
% 0.42/1.11 ------ Problem Properties
% 0.42/1.11
% 0.42/1.11
% 0.42/1.11 clauses 8
% 0.42/1.11 conjectures 1
% 0.42/1.11 EPR 0
% 0.42/1.11 Horn 8
% 0.42/1.11 unary 8
% 0.42/1.11 binary 0
% 0.42/1.11 lits 8
% 0.42/1.11 lits eq 8
% 0.42/1.11 fd_pure 0
% 0.42/1.11 fd_pseudo 0
% 0.42/1.11 fd_cond 0
% 0.42/1.11 fd_pseudo_cond 0
% 0.42/1.11 AC symbols 0
% 0.42/1.11
% 0.42/1.11 ------ Input Options Time Limit: Unbounded
% 0.42/1.11
% 0.42/1.11
% 0.42/1.11 ------
% 0.42/1.11 Current options:
% 0.42/1.11 ------
% 0.42/1.11
% 0.42/1.11
% 0.42/1.11
% 0.42/1.11
% 0.42/1.11 ------ Proving...
% 0.42/1.11
% 0.42/1.11
% 0.42/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 0.42/1.11
% 0.42/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.42/1.11
% 0.42/1.12
%------------------------------------------------------------------------------