TSTP Solution File: GRP476-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP476-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 01:00:04 EDT 2023
% Result : Unsatisfiable 23.34s 3.41s
% Output : CNFRefutation 23.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 3
% Syntax : Number of clauses : 57 ( 57 unt; 0 nHn; 6 RR)
% Number of literals : 57 ( 56 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 13 ( 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 : 242 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
divide(inverse(divide(divide(divide(X0,X1),X2),divide(X3,X2))),divide(X1,X0)) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
divide(X0,inverse(X1)) = multiply(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c_51,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(c_143,plain,
divide(inverse(divide(divide(divide(X0,X1),divide(X2,X3)),X4)),divide(X1,X0)) = inverse(divide(divide(divide(X3,X2),X5),divide(X4,X5))),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_144,plain,
divide(inverse(divide(divide(divide(divide(X0,X1),inverse(divide(divide(divide(X1,X0),X2),divide(X3,X2)))),X4),divide(X5,X4))),X3) = X5,
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_194,plain,
inverse(divide(divide(divide(X0,X1),X2),divide(divide(X3,divide(X1,X0)),X2))) = X3,
inference(superposition,[status(thm)],[c_143,c_49]) ).
cnf(c_208,plain,
divide(divide(inverse(divide(divide(divide(X0,X1),divide(inverse(divide(divide(divide(X2,X3),X4),divide(X5,X4))),divide(X3,X2))),X6)),divide(X1,X0)),X5) = X6,
inference(superposition,[status(thm)],[c_143,c_144]) ).
cnf(c_243,plain,
divide(divide(inverse(divide(divide(divide(X0,X1),X2),X3)),divide(X1,X0)),X2) = X3,
inference(demodulation,[status(thm)],[c_208,c_49]) ).
cnf(c_415,plain,
inverse(divide(divide(X0,X1),divide(divide(X2,divide(divide(X3,X4),inverse(divide(divide(divide(X4,X3),X5),divide(X0,X5))))),X1))) = X2,
inference(superposition,[status(thm)],[c_49,c_194]) ).
cnf(c_426,plain,
divide(inverse(divide(divide(X0,X1),divide(X2,X1))),divide(X3,divide(inverse(divide(divide(divide(X4,X5),X3),X0)),divide(X5,X4)))) = X2,
inference(superposition,[status(thm)],[c_243,c_49]) ).
cnf(c_598,plain,
divide(X0,divide(divide(X1,X2),inverse(divide(divide(divide(X2,X1),X3),divide(divide(X4,X5),X3))))) = divide(X0,divide(X5,X4)),
inference(superposition,[status(thm)],[c_415,c_49]) ).
cnf(c_1016,plain,
divide(X0,divide(X1,divide(inverse(divide(divide(divide(X2,X3),X1),divide(X4,X5))),divide(X3,X2)))) = divide(X0,divide(X5,X4)),
inference(superposition,[status(thm)],[c_194,c_426]) ).
cnf(c_1488,plain,
divide(inverse(divide(divide(X0,X1),divide(X2,X1))),divide(divide(X3,X4),inverse(divide(divide(divide(X4,X3),X5),divide(X0,X5))))) = X2,
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_1493,plain,
inverse(divide(divide(X0,X1),divide(divide(X2,divide(divide(X3,X4),inverse(divide(divide(divide(X4,X3),X5),divide(X0,X5))))),X1))) = X2,
inference(superposition,[status(thm)],[c_49,c_194]) ).
cnf(c_1549,plain,
divide(divide(inverse(divide(divide(divide(X0,X1),X2),divide(X3,X4))),divide(X1,X0)),X2) = divide(divide(X5,X6),inverse(divide(divide(divide(X6,X5),X7),divide(divide(X4,X3),X7)))),
inference(superposition,[status(thm)],[c_598,c_243]) ).
cnf(c_1598,plain,
divide(divide(inverse(divide(divide(divide(X0,X1),X2),divide(X3,X4))),divide(X1,X0)),X2) = divide(X5,divide(inverse(divide(divide(divide(X6,X7),X5),divide(X4,X3))),divide(X7,X6))),
inference(superposition,[status(thm)],[c_1016,c_243]) ).
cnf(c_1607,plain,
divide(X0,divide(inverse(divide(divide(divide(X1,X2),X0),divide(X3,X4))),divide(X2,X1))) = divide(X4,X3),
inference(demodulation,[status(thm)],[c_1598,c_243]) ).
cnf(c_1620,plain,
divide(divide(X0,X1),inverse(divide(divide(divide(X1,X0),X2),divide(divide(X3,X4),X2)))) = divide(X4,X3),
inference(demodulation,[status(thm)],[c_1549,c_243]) ).
cnf(c_2999,plain,
divide(divide(inverse(divide(divide(divide(divide(X0,X1),inverse(divide(divide(divide(X1,X0),X2),divide(X3,X2)))),X4),X5)),X3),X4) = X5,
inference(superposition,[status(thm)],[c_49,c_243]) ).
cnf(c_8125,plain,
divide(inverse(divide(divide(divide(divide(X0,X1),inverse(divide(divide(divide(X1,X0),X2),divide(X3,X2)))),X4),divide(X5,X4))),X3) = X5,
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_8140,plain,
inverse(divide(X0,divide(divide(X1,divide(divide(X2,X3),inverse(divide(divide(divide(X3,X2),X4),X0)))),X4))) = X1,
inference(superposition,[status(thm)],[c_243,c_194]) ).
cnf(c_8305,plain,
inverse(divide(divide(X0,X1),divide(X2,X1))) = inverse(divide(divide(X0,X3),divide(X2,X3))),
inference(superposition,[status(thm)],[c_1488,c_1493]) ).
cnf(c_8603,plain,
divide(divide(inverse(divide(divide(X0,X1),X2)),X3),inverse(divide(divide(divide(inverse(divide(divide(divide(X4,X5),X6),divide(X3,X6))),divide(X5,X4)),X7),divide(divide(X1,X0),X7)))) = X2,
inference(superposition,[status(thm)],[c_1620,c_2999]) ).
cnf(c_8707,plain,
divide(divide(inverse(divide(divide(X0,X1),X2)),X3),inverse(divide(divide(X3,X4),divide(divide(X1,X0),X4)))) = X2,
inference(demodulation,[status(thm)],[c_8603,c_49]) ).
cnf(c_8857,plain,
divide(inverse(divide(divide(X0,X1),divide(X2,inverse(divide(divide(divide(inverse(divide(divide(divide(X3,X4),X5),divide(X6,X5))),divide(X4,X3)),X7),divide(divide(X1,X0),X7)))))),X6) = X2,
inference(superposition,[status(thm)],[c_1620,c_8125]) ).
cnf(c_9284,plain,
divide(inverse(divide(divide(X0,X1),divide(X2,inverse(divide(divide(X3,X4),divide(divide(X1,X0),X4)))))),X3) = X2,
inference(demodulation,[status(thm)],[c_8857,c_49]) ).
cnf(c_10353,plain,
divide(inverse(divide(divide(X0,X1),divide(X0,X1))),divide(X2,X3)) = divide(X3,X2),
inference(superposition,[status(thm)],[c_1620,c_9284]) ).
cnf(c_10720,plain,
inverse(divide(X0,divide(divide(inverse(divide(divide(divide(X1,X2),X3),X0)),divide(X2,X1)),X3))) = inverse(divide(divide(X4,X5),divide(X4,X5))),
inference(superposition,[status(thm)],[c_10353,c_8140]) ).
cnf(c_10785,plain,
divide(X0,divide(inverse(divide(divide(divide(X1,X2),X0),divide(inverse(divide(divide(X3,X4),divide(X3,X4))),divide(X5,X6)))),divide(X2,X1))) = divide(X5,X6),
inference(superposition,[status(thm)],[c_10353,c_1607]) ).
cnf(c_11137,plain,
inverse(divide(divide(X0,X1),divide(X0,X1))) = inverse(divide(X2,X2)),
inference(demodulation,[status(thm)],[c_10720,c_243]) ).
cnf(c_11138,plain,
divide(divide(X0,X1),inverse(divide(divide(X2,X3),divide(X2,X3)))) = divide(X0,X1),
inference(demodulation,[status(thm)],[c_10785,c_1607]) ).
cnf(c_11662,plain,
divide(inverse(divide(divide(X0,X1),divide(X2,inverse(divide(X3,X3))))),divide(X1,X0)) = X2,
inference(superposition,[status(thm)],[c_11137,c_9284]) ).
cnf(c_11871,plain,
inverse(divide(divide(X0,inverse(divide(divide(X1,X2),divide(X1,X2)))),divide(X3,X4))) = inverse(divide(divide(X0,X5),divide(divide(X3,X4),X5))),
inference(superposition,[status(thm)],[c_11138,c_8305]) ).
cnf(c_11899,plain,
inverse(divide(divide(X0,X1),divide(X2,inverse(divide(divide(X3,X4),divide(X3,X4)))))) = inverse(divide(divide(divide(X0,X1),X5),divide(X2,X5))),
inference(superposition,[status(thm)],[c_11138,c_8305]) ).
cnf(c_11929,plain,
divide(inverse(divide(divide(X0,X1),X2)),divide(X1,X0)) = X2,
inference(superposition,[status(thm)],[c_11138,c_8707]) ).
cnf(c_11932,plain,
divide(X0,inverse(divide(X1,X1))) = X0,
inference(demodulation,[status(thm)],[c_11662,c_11929]) ).
cnf(c_11982,plain,
inverse(divide(divide(divide(X0,X1),X2),divide(X3,X2))) = inverse(divide(divide(X0,X1),X3)),
inference(demodulation,[status(thm)],[c_11899,c_11932]) ).
cnf(c_11983,plain,
inverse(divide(divide(X0,X1),divide(divide(X2,X3),X1))) = inverse(divide(X0,divide(X2,X3))),
inference(demodulation,[status(thm)],[c_11871,c_11932]) ).
cnf(c_12131,plain,
divide(inverse(divide(divide(divide(divide(X0,X1),inverse(divide(divide(divide(X1,X0),X2),divide(X3,X2)))),X4),divide(X5,X4))),X3) = X5,
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_12133,plain,
multiply(divide(inverse(b2),inverse(b2)),a2) != a2,
inference(superposition,[status(thm)],[c_50,c_51]) ).
cnf(c_12709,plain,
divide(divide(inverse(b2),inverse(b2)),inverse(a2)) != a2,
inference(demodulation,[status(thm)],[c_12133,c_50]) ).
cnf(c_13488,plain,
inverse(divide(divide(divide(inverse(divide(X0,X0)),X1),X2),divide(divide(X3,X1),X2))) = X3,
inference(superposition,[status(thm)],[c_11932,c_194]) ).
cnf(c_13527,plain,
divide(divide(inverse(divide(divide(X0,X1),X2)),divide(X1,X0)),X2) = inverse(divide(X3,X3)),
inference(superposition,[status(thm)],[c_11932,c_243]) ).
cnf(c_13535,plain,
divide(inverse(divide(X0,X0)),divide(inverse(divide(divide(X1,X2),divide(X3,X4))),divide(X2,X1))) = divide(X4,X3),
inference(superposition,[status(thm)],[c_11932,c_1607]) ).
cnf(c_13575,plain,
divide(inverse(divide(divide(X0,X1),X2)),divide(X1,X0)) = X2,
inference(superposition,[status(thm)],[c_11982,c_49]) ).
cnf(c_13774,plain,
inverse(divide(divide(X0,X1),divide(X2,X1))) = inverse(divide(X0,X2)),
inference(superposition,[status(thm)],[c_12131,c_11983]) ).
cnf(c_13887,plain,
inverse(divide(X0,X0)) = divide(X1,X1),
inference(demodulation,[status(thm)],[c_13527,c_13575]) ).
cnf(c_13890,plain,
inverse(divide(inverse(divide(X0,X0)),X1)) = X1,
inference(demodulation,[status(thm)],[c_13488,c_13774]) ).
cnf(c_13902,plain,
divide(inverse(divide(X0,X0)),divide(X1,X2)) = divide(X2,X1),
inference(demodulation,[status(thm)],[c_13535,c_13575]) ).
cnf(c_14340,plain,
divide(inverse(divide(divide(divide(divide(X0,X1),divide(X2,X2)),X3),divide(X4,X3))),divide(X1,X0)) = X4,
inference(superposition,[status(thm)],[c_13887,c_12131]) ).
cnf(c_14354,plain,
divide(X0,divide(X1,X1)) = X0,
inference(superposition,[status(thm)],[c_13887,c_11932]) ).
cnf(c_14561,plain,
divide(divide(X0,X1),inverse(divide(divide(divide(X1,X0),X2),divide(X3,X2)))) = inverse(X3),
inference(superposition,[status(thm)],[c_1488,c_13890]) ).
cnf(c_14580,plain,
divide(inverse(divide(X0,X0)),inverse(a2)) != a2,
inference(superposition,[status(thm)],[c_13887,c_12709]) ).
cnf(c_14855,plain,
inverse(divide(X0,X1)) = divide(X1,X0),
inference(superposition,[status(thm)],[c_13902,c_13890]) ).
cnf(c_14990,plain,
inverse(inverse(a2)) != a2,
inference(demodulation,[status(thm)],[c_14580,c_14354,c_14855]) ).
cnf(c_15041,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_14340,c_14354,c_14855,c_14561]) ).
cnf(c_15042,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_14990,c_15041]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.06 % Problem : GRP476-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.07 % Command : run_iprover %s %d THM
% 0.06/0.25 % Computer : n028.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Mon Aug 28 22:47:55 EDT 2023
% 0.06/0.25 % CPUTime :
% 0.10/0.32 Running UEQ theorem proving
% 0.10/0.32 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
% 23.34/3.41 % SZS status Started for theBenchmark.p
% 23.34/3.41 % SZS status Unsatisfiable for theBenchmark.p
% 23.34/3.41
% 23.34/3.41 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 23.34/3.41
% 23.34/3.41 ------ iProver source info
% 23.34/3.41
% 23.34/3.41 git: date: 2023-05-31 18:12:56 +0000
% 23.34/3.41 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 23.34/3.41 git: non_committed_changes: false
% 23.34/3.41 git: last_make_outside_of_git: false
% 23.34/3.41
% 23.34/3.41 ------ Parsing...successful
% 23.34/3.41
% 23.34/3.41
% 23.34/3.41
% 23.34/3.41 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 23.34/3.41
% 23.34/3.41 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 23.34/3.41
% 23.34/3.41 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 23.34/3.41 ------ Proving...
% 23.34/3.41 ------ Problem Properties
% 23.34/3.41
% 23.34/3.41
% 23.34/3.41 clauses 3
% 23.34/3.41 conjectures 1
% 23.34/3.41 EPR 0
% 23.34/3.41 Horn 3
% 23.34/3.41 unary 3
% 23.34/3.41 binary 0
% 23.34/3.41 lits 3
% 23.34/3.41 lits eq 3
% 23.34/3.41 fd_pure 0
% 23.34/3.41 fd_pseudo 0
% 23.34/3.41 fd_cond 0
% 23.34/3.41 fd_pseudo_cond 0
% 23.34/3.41 AC symbols 0
% 23.34/3.41
% 23.34/3.41 ------ Input Options Time Limit: Unbounded
% 23.34/3.41
% 23.34/3.41
% 23.34/3.41 ------
% 23.34/3.41 Current options:
% 23.34/3.41 ------
% 23.34/3.41
% 23.34/3.41
% 23.34/3.41
% 23.34/3.41
% 23.34/3.41 ------ Proving...
% 23.34/3.41
% 23.34/3.41
% 23.34/3.41 % SZS status Unsatisfiable for theBenchmark.p
% 23.34/3.41
% 23.34/3.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 23.34/3.41
% 23.34/3.42
%------------------------------------------------------------------------------