TSTP Solution File: GRP601-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP601-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 01:00:40 EDT 2023
% Result : Unsatisfiable 3.81s 1.13s
% Output : CNFRefutation 3.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 3
% Syntax : Number of clauses : 49 ( 49 unt; 0 nHn; 9 RR)
% Number of literals : 49 ( 48 equ; 7 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 106 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(X1,double_divide(X0,X2))))),X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
inverse(double_divide(X0,X1)) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(c_51,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(c_60,plain,
multiply(X0,multiply(multiply(double_divide(X1,X0),X2),X1)) = X2,
inference(demodulation,[status(thm)],[c_49,c_50]) ).
cnf(c_97,plain,
multiply(multiply(double_divide(X0,double_divide(X1,X2)),X3),X0) = multiply(X2,multiply(X3,X1)),
inference(superposition,[status(thm)],[c_60,c_60]) ).
cnf(c_101,plain,
multiply(double_divide(X0,X1),multiply(X1,multiply(X2,X0))) = X2,
inference(superposition,[status(thm)],[c_97,c_60]) ).
cnf(c_106,plain,
multiply(double_divide(multiply(multiply(double_divide(X0,X1),X2),X0),X3),multiply(X3,X2)) = X1,
inference(superposition,[status(thm)],[c_60,c_101]) ).
cnf(c_110,plain,
multiply(double_divide(multiply(X0,multiply(X1,X2)),X3),multiply(X3,X1)) = double_divide(X2,X0),
inference(superposition,[status(thm)],[c_101,c_101]) ).
cnf(c_189,plain,
double_divide(X0,multiply(double_divide(multiply(X1,X0),X2),X1)) = X2,
inference(superposition,[status(thm)],[c_110,c_106]) ).
cnf(c_213,plain,
double_divide(multiply(X0,X1),double_divide(X1,multiply(X2,X0))) = X2,
inference(superposition,[status(thm)],[c_110,c_189]) ).
cnf(c_224,plain,
multiply(multiply(double_divide(multiply(X0,X1),X2),X0),X1) = inverse(X2),
inference(superposition,[status(thm)],[c_189,c_50]) ).
cnf(c_258,plain,
multiply(double_divide(X0,multiply(X1,X2)),multiply(multiply(X1,X3),multiply(X2,X0))) = X3,
inference(superposition,[status(thm)],[c_213,c_60]) ).
cnf(c_261,plain,
multiply(double_divide(X0,multiply(X1,X2)),multiply(X2,X0)) = inverse(X1),
inference(superposition,[status(thm)],[c_213,c_50]) ).
cnf(c_356,plain,
multiply(double_divide(X0,double_divide(X0,multiply(X1,X2))),inverse(X1)) = X2,
inference(superposition,[status(thm)],[c_261,c_101]) ).
cnf(c_524,plain,
double_divide(multiply(inverse(X0),X1),multiply(X0,X2)) = double_divide(X1,X2),
inference(superposition,[status(thm)],[c_356,c_189]) ).
cnf(c_581,plain,
double_divide(X0,multiply(double_divide(X0,X1),inverse(X2))) = multiply(X2,X1),
inference(superposition,[status(thm)],[c_524,c_189]) ).
cnf(c_615,plain,
multiply(X0,double_divide(X1,multiply(X0,X2))) = double_divide(X1,X2),
inference(superposition,[status(thm)],[c_356,c_581]) ).
cnf(c_650,plain,
multiply(double_divide(multiply(X0,X1),X2),X2) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_189,c_615]) ).
cnf(c_1015,plain,
double_divide(multiply(X0,X1),double_divide(X1,multiply(X2,X0))) = multiply(double_divide(inverse(X2),X3),X3),
inference(superposition,[status(thm)],[c_261,c_650]) ).
cnf(c_1045,plain,
multiply(double_divide(X0,X1),X0) = inverse(X1),
inference(superposition,[status(thm)],[c_650,c_224]) ).
cnf(c_1046,plain,
double_divide(X0,double_divide(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_650,c_189]) ).
cnf(c_1049,plain,
inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_650,c_261]) ).
cnf(c_1051,plain,
multiply(double_divide(inverse(X0),X1),X1) = X0,
inference(light_normalisation,[status(thm)],[c_1015,c_213]) ).
cnf(c_1054,plain,
multiply(multiply(X0,X1),inverse(X0)) = X1,
inference(demodulation,[status(thm)],[c_356,c_1046]) ).
cnf(c_1169,plain,
double_divide(X0,double_divide(X0,X1)) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_1045,c_1049]) ).
cnf(c_1170,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1169,c_1046]) ).
cnf(c_1241,plain,
multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(superposition,[status(thm)],[c_1170,c_1051]) ).
cnf(c_1249,plain,
multiply(double_divide(X0,X1),multiply(X1,X2)) = double_divide(inverse(X2),X0),
inference(superposition,[status(thm)],[c_1051,c_101]) ).
cnf(c_1258,plain,
double_divide(inverse(multiply(X0,X1)),X1) = X0,
inference(demodulation,[status(thm)],[c_101,c_1249]) ).
cnf(c_1259,plain,
double_divide(double_divide(X0,X1),X0) = X1,
inference(light_normalisation,[status(thm)],[c_1258,c_1049]) ).
cnf(c_1279,plain,
double_divide(X0,X1) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_1046,c_1259]) ).
cnf(c_1300,plain,
inverse(double_divide(X0,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1279,c_50]) ).
cnf(c_1336,plain,
multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_1300,c_50]) ).
cnf(c_1339,plain,
multiply(inverse(b1),b1) != multiply(a1,inverse(a1)),
inference(demodulation,[status(thm)],[c_51,c_1336]) ).
cnf(c_1354,plain,
multiply(a1,inverse(a1)) != multiply(b1,inverse(b1)),
inference(superposition,[status(thm)],[c_1336,c_1339]) ).
cnf(c_1358,plain,
multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(superposition,[status(thm)],[c_1336,c_1054]) ).
cnf(c_1365,plain,
multiply(multiply(double_divide(X0,X1),X2),multiply(X1,X0)) = X2,
inference(superposition,[status(thm)],[c_50,c_1054]) ).
cnf(c_1370,plain,
double_divide(inverse(X0),multiply(X0,X1)) = inverse(X1),
inference(superposition,[status(thm)],[c_1054,c_1049]) ).
cnf(c_1428,plain,
multiply(double_divide(X0,multiply(double_divide(X0,X1),X1)),X2) = X2,
inference(superposition,[status(thm)],[c_1365,c_258]) ).
cnf(c_1429,plain,
multiply(double_divide(X0,inverse(X0)),X1) = X1,
inference(light_normalisation,[status(thm)],[c_1428,c_1241]) ).
cnf(c_1646,plain,
double_divide(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_1429,c_1358]) ).
cnf(c_2108,plain,
double_divide(inverse(X0),X1) = multiply(X0,inverse(X1)),
inference(superposition,[status(thm)],[c_1370,c_615]) ).
cnf(c_2116,plain,
double_divide(inverse(a1),a1) != multiply(b1,inverse(b1)),
inference(demodulation,[status(thm)],[c_1354,c_2108]) ).
cnf(c_2361,plain,
double_divide(X0,inverse(X0)) != double_divide(inverse(a1),a1),
inference(superposition,[status(thm)],[c_1646,c_2116]) ).
cnf(c_2362,plain,
double_divide(X0,inverse(X0)) = double_divide(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_1646,c_1646]) ).
cnf(c_2377,plain,
double_divide(a1,inverse(a1)) = double_divide(a1,inverse(a1)),
inference(instantiation,[status(thm)],[c_2362]) ).
cnf(c_2869,plain,
double_divide(X0,inverse(X0)) != double_divide(a1,inverse(a1)),
inference(superposition,[status(thm)],[c_1279,c_2361]) ).
cnf(c_2871,plain,
double_divide(a1,inverse(a1)) != double_divide(a1,inverse(a1)),
inference(instantiation,[status(thm)],[c_2869]) ).
cnf(c_2872,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2871,c_2377]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP601-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n009.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Aug 28 22:59:20 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.17/0.45 Running UEQ theorem proving
% 0.17/0.45 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
% 3.81/1.13 % SZS status Started for theBenchmark.p
% 3.81/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 3.81/1.13
% 3.81/1.13 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.81/1.13
% 3.81/1.13 ------ iProver source info
% 3.81/1.13
% 3.81/1.13 git: date: 2023-05-31 18:12:56 +0000
% 3.81/1.13 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.81/1.13 git: non_committed_changes: false
% 3.81/1.13 git: last_make_outside_of_git: false
% 3.81/1.13
% 3.81/1.13 ------ Parsing...successful
% 3.81/1.13
% 3.81/1.13
% 3.81/1.13
% 3.81/1.13 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.81/1.13
% 3.81/1.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.81/1.13
% 3.81/1.13 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.81/1.13 ------ Proving...
% 3.81/1.13 ------ Problem Properties
% 3.81/1.13
% 3.81/1.13
% 3.81/1.13 clauses 3
% 3.81/1.13 conjectures 1
% 3.81/1.13 EPR 0
% 3.81/1.13 Horn 3
% 3.81/1.13 unary 3
% 3.81/1.13 binary 0
% 3.81/1.13 lits 3
% 3.81/1.13 lits eq 3
% 3.81/1.13 fd_pure 0
% 3.81/1.13 fd_pseudo 0
% 3.81/1.13 fd_cond 0
% 3.81/1.13 fd_pseudo_cond 0
% 3.81/1.13 AC symbols 0
% 3.81/1.13
% 3.81/1.13 ------ Input Options Time Limit: Unbounded
% 3.81/1.13
% 3.81/1.13
% 3.81/1.13 ------
% 3.81/1.13 Current options:
% 3.81/1.13 ------
% 3.81/1.13
% 3.81/1.13
% 3.81/1.13
% 3.81/1.13
% 3.81/1.13 ------ Proving...
% 3.81/1.13
% 3.81/1.13
% 3.81/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 3.81/1.13
% 3.81/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.81/1.13
% 3.81/1.14
%------------------------------------------------------------------------------