TSTP Solution File: GRP767-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP767-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 02:23:38 EDT 2024
% Result : Unsatisfiable 19.56s 3.11s
% Output : CNFRefutation 19.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 17
% Syntax : Number of clauses : 97 ( 97 unt; 0 nHn; 9 RR)
% Number of literals : 97 ( 96 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 : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 134 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
product(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos01) ).
cnf(c_50,plain,
product(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos02) ).
cnf(c_51,plain,
product(X0,difference(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos03) ).
cnf(c_52,plain,
difference(X0,product(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos04) ).
cnf(c_53,plain,
quotient(product(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos05) ).
cnf(c_54,plain,
product(quotient(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos06) ).
cnf(c_55,plain,
difference(X0,product(product(X0,X1),X2)) = quotient(product(X1,product(X2,X0)),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos07) ).
cnf(c_56,plain,
difference(product(X0,X1),product(X0,product(X1,X2))) = quotient(quotient(product(X2,product(X0,X1)),X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos08) ).
cnf(c_57,plain,
difference(X0,one) = i(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos09) ).
cnf(c_58,plain,
quotient(one,X0) = j(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos10) ).
cnf(c_59,plain,
product(i(X0),X0) = product(X0,j(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos11) ).
cnf(c_60,plain,
product(i(X0),X0) = eta(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos12) ).
cnf(c_61,plain,
product(eta(X0),product(X0,X1)) = product(i(i(X0)),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos13) ).
cnf(c_62,plain,
product(X0,product(eta(X0),X1)) = product(j(j(X0)),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos14) ).
cnf(c_64,plain,
product(product(eta(X0),X1),X2) = product(eta(X0),product(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos16) ).
cnf(c_65,plain,
difference(product(X0,X1),product(X0,product(X1,X2))) = l(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos17) ).
cnf(c_69,negated_conjecture,
product(j(j(x0)),j(product(x1,x0))) != j(x1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(c_131,plain,
product(X0,j(X0)) = eta(X0),
inference(demodulation,[status(thm)],[c_59,c_60]) ).
cnf(c_132,plain,
quotient(quotient(product(X0,product(X1,X2)),X2),X1) = l(X1,X2,X0),
inference(demodulation,[status(thm)],[c_56,c_65]) ).
cnf(c_246,plain,
product(X0,i(X0)) = one,
inference(superposition,[status(thm)],[c_57,c_51]) ).
cnf(c_247,plain,
difference(one,X0) = X0,
inference(superposition,[status(thm)],[c_51,c_50]) ).
cnf(c_252,plain,
i(one) = one,
inference(superposition,[status(thm)],[c_247,c_57]) ).
cnf(c_257,plain,
difference(X0,X0) = one,
inference(superposition,[status(thm)],[c_49,c_52]) ).
cnf(c_264,plain,
quotient(one,i(X0)) = X0,
inference(superposition,[status(thm)],[c_246,c_53]) ).
cnf(c_269,plain,
product(j(X0),X0) = one,
inference(superposition,[status(thm)],[c_58,c_54]) ).
cnf(c_276,plain,
i(one) = eta(one),
inference(superposition,[status(thm)],[c_60,c_49]) ).
cnf(c_279,plain,
eta(one) = one,
inference(light_normalisation,[status(thm)],[c_276,c_252]) ).
cnf(c_283,plain,
j(one) = eta(one),
inference(superposition,[status(thm)],[c_50,c_131]) ).
cnf(c_287,plain,
j(one) = one,
inference(light_normalisation,[status(thm)],[c_283,c_279]) ).
cnf(c_328,plain,
product(i(i(X0)),one) = product(eta(X0),X0),
inference(superposition,[status(thm)],[c_49,c_61]) ).
cnf(c_353,plain,
product(j(j(X0)),one) = product(X0,eta(X0)),
inference(superposition,[status(thm)],[c_49,c_62]) ).
cnf(c_355,plain,
product(j(j(X0)),j(eta(X0))) = product(X0,eta(eta(X0))),
inference(superposition,[status(thm)],[c_131,c_62]) ).
cnf(c_358,plain,
product(j(j(X0)),i(eta(X0))) = product(X0,one),
inference(superposition,[status(thm)],[c_246,c_62]) ).
cnf(c_369,plain,
product(j(j(X0)),i(eta(X0))) = X0,
inference(light_normalisation,[status(thm)],[c_358,c_49]) ).
cnf(c_413,plain,
j(i(X0)) = X0,
inference(superposition,[status(thm)],[c_264,c_58]) ).
cnf(c_416,plain,
product(i(X0),X0) = eta(i(X0)),
inference(superposition,[status(thm)],[c_413,c_131]) ).
cnf(c_417,plain,
eta(i(X0)) = eta(X0),
inference(light_normalisation,[status(thm)],[c_416,c_60]) ).
cnf(c_424,plain,
product(eta(X0),product(one,X1)) = product(eta(X0),X1),
inference(superposition,[status(thm)],[c_49,c_64]) ).
cnf(c_429,plain,
product(eta(X0),product(i(eta(X0)),X1)) = product(one,X1),
inference(superposition,[status(thm)],[c_246,c_64]) ).
cnf(c_436,plain,
quotient(product(eta(X0),product(X1,X2)),X2) = product(eta(X0),X1),
inference(superposition,[status(thm)],[c_64,c_53]) ).
cnf(c_538,plain,
quotient(quotient(product(X0,one),i(X1)),X1) = l(X1,i(X1),X0),
inference(superposition,[status(thm)],[c_246,c_132]) ).
cnf(c_543,plain,
quotient(quotient(X0,i(X1)),X1) = l(X1,i(X1),X0),
inference(light_normalisation,[status(thm)],[c_538,c_49]) ).
cnf(c_569,plain,
quotient(product(X0,product(i(product(X1,X0)),X1)),X1) = difference(X1,one),
inference(superposition,[status(thm)],[c_246,c_55]) ).
cnf(c_615,plain,
difference(j(X0),one) = X0,
inference(superposition,[status(thm)],[c_269,c_52]) ).
cnf(c_704,plain,
i(j(X0)) = X0,
inference(superposition,[status(thm)],[c_615,c_57]) ).
cnf(c_707,plain,
eta(j(X0)) = eta(X0),
inference(superposition,[status(thm)],[c_704,c_417]) ).
cnf(c_897,plain,
product(j(X0),i(eta(i(X0)))) = i(X0),
inference(superposition,[status(thm)],[c_413,c_369]) ).
cnf(c_912,plain,
product(j(X0),i(eta(X0))) = i(X0),
inference(light_normalisation,[status(thm)],[c_897,c_417]) ).
cnf(c_1066,plain,
product(X0,i(eta(i(X0)))) = i(i(X0)),
inference(superposition,[status(thm)],[c_413,c_912]) ).
cnf(c_1082,plain,
product(X0,i(eta(X0))) = i(i(X0)),
inference(light_normalisation,[status(thm)],[c_1066,c_417]) ).
cnf(c_1175,plain,
product(eta(X0),X0) = i(i(X0)),
inference(superposition,[status(thm)],[c_328,c_49]) ).
cnf(c_1245,plain,
quotient(i(i(X0)),X0) = eta(X0),
inference(superposition,[status(thm)],[c_1175,c_53]) ).
cnf(c_1273,plain,
quotient(i(X0),j(X0)) = eta(j(X0)),
inference(superposition,[status(thm)],[c_704,c_1245]) ).
cnf(c_1280,plain,
quotient(i(X0),j(X0)) = eta(X0),
inference(light_normalisation,[status(thm)],[c_1273,c_707]) ).
cnf(c_1301,plain,
product(eta(X0),j(X0)) = i(X0),
inference(superposition,[status(thm)],[c_1280,c_54]) ).
cnf(c_1325,plain,
product(eta(X0),j(j(X0))) = i(j(X0)),
inference(superposition,[status(thm)],[c_707,c_1301]) ).
cnf(c_1343,plain,
product(eta(X0),j(j(X0))) = X0,
inference(light_normalisation,[status(thm)],[c_1325,c_704]) ).
cnf(c_1385,plain,
product(X0,eta(X0)) = j(j(X0)),
inference(superposition,[status(thm)],[c_353,c_49]) ).
cnf(c_1452,plain,
product(i(i(X0)),eta(X0)) = product(eta(X0),j(j(X0))),
inference(superposition,[status(thm)],[c_1385,c_61]) ).
cnf(c_1466,plain,
product(i(i(X0)),eta(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1452,c_1343]) ).
cnf(c_1547,plain,
quotient(X0,eta(X0)) = i(i(X0)),
inference(superposition,[status(thm)],[c_1466,c_53]) ).
cnf(c_3783,plain,
quotient(product(one,X0),product(i(eta(X1)),X0)) = eta(X1),
inference(superposition,[status(thm)],[c_429,c_53]) ).
cnf(c_3797,plain,
quotient(X0,product(i(eta(X1)),X0)) = eta(X1),
inference(light_normalisation,[status(thm)],[c_3783,c_50]) ).
cnf(c_3828,plain,
quotient(difference(i(eta(X0)),X1),X1) = eta(X0),
inference(superposition,[status(thm)],[c_51,c_3797]) ).
cnf(c_3829,plain,
quotient(eta(X0),eta(eta(X0))) = eta(X0),
inference(superposition,[status(thm)],[c_60,c_3797]) ).
cnf(c_3878,plain,
i(i(eta(X0))) = eta(X0),
inference(superposition,[status(thm)],[c_3829,c_1547]) ).
cnf(c_3942,plain,
i(eta(X0)) = j(eta(X0)),
inference(superposition,[status(thm)],[c_3878,c_413]) ).
cnf(c_3990,plain,
product(X0,j(eta(X0))) = i(i(X0)),
inference(demodulation,[status(thm)],[c_1082,c_3942]) ).
cnf(c_3996,plain,
product(j(j(X0)),j(eta(X0))) = X0,
inference(demodulation,[status(thm)],[c_369,c_3942]) ).
cnf(c_3997,plain,
product(X0,eta(eta(X0))) = X0,
inference(light_normalisation,[status(thm)],[c_3996,c_355]) ).
cnf(c_4179,plain,
difference(X0,X0) = eta(eta(X0)),
inference(superposition,[status(thm)],[c_3997,c_52]) ).
cnf(c_4193,plain,
eta(eta(X0)) = one,
inference(light_normalisation,[status(thm)],[c_4179,c_257]) ).
cnf(c_4277,plain,
product(one,eta(X0)) = i(i(eta(X0))),
inference(superposition,[status(thm)],[c_4193,c_1175]) ).
cnf(c_4293,plain,
product(one,eta(X0)) = i(j(eta(X0))),
inference(light_normalisation,[status(thm)],[c_4277,c_3942]) ).
cnf(c_4494,plain,
quotient(difference(j(eta(X0)),X1),X1) = eta(X0),
inference(light_normalisation,[status(thm)],[c_3828,c_3942]) ).
cnf(c_4513,plain,
difference(j(eta(X0)),X1) = product(eta(X0),X1),
inference(superposition,[status(thm)],[c_4494,c_54]) ).
cnf(c_4590,plain,
product(eta(X0),one) = i(j(eta(X0))),
inference(superposition,[status(thm)],[c_4513,c_57]) ).
cnf(c_4600,plain,
product(eta(X0),one) = product(one,eta(X0)),
inference(light_normalisation,[status(thm)],[c_4590,c_4293]) ).
cnf(c_4993,plain,
product(l(X0,i(X0),X1),X0) = quotient(X1,i(X0)),
inference(superposition,[status(thm)],[c_543,c_54]) ).
cnf(c_5488,plain,
product(eta(X0),product(j(eta(eta(X0))),X1)) = product(i(i(eta(X0))),X1),
inference(superposition,[status(thm)],[c_3990,c_64]) ).
cnf(c_5510,plain,
product(product(one,eta(X0)),X1) = product(eta(X0),X1),
inference(light_normalisation,[status(thm)],[c_5488,c_287,c_424,c_3942,c_4193,c_4293]) ).
cnf(c_9771,plain,
quotient(product(eta(X0),X1),X1) = product(eta(X0),one),
inference(superposition,[status(thm)],[c_50,c_436]) ).
cnf(c_9822,plain,
quotient(product(eta(X0),X1),X1) = l(X1,X2,eta(X0)),
inference(superposition,[status(thm)],[c_436,c_132]) ).
cnf(c_9826,plain,
quotient(product(eta(X0),X1),X1) = product(one,eta(X0)),
inference(light_normalisation,[status(thm)],[c_9771,c_4600]) ).
cnf(c_9896,plain,
l(X0,X1,eta(X2)) = product(one,eta(X2)),
inference(light_normalisation,[status(thm)],[c_9822,c_9826]) ).
cnf(c_9929,plain,
product(product(one,eta(X0)),X1) = quotient(eta(X0),i(X1)),
inference(superposition,[status(thm)],[c_9896,c_4993]) ).
cnf(c_9956,plain,
quotient(eta(X0),i(X1)) = product(eta(X0),X1),
inference(light_normalisation,[status(thm)],[c_9929,c_5510]) ).
cnf(c_13401,plain,
product(eta(X0),j(X1)) = quotient(eta(X0),X1),
inference(superposition,[status(thm)],[c_704,c_9956]) ).
cnf(c_16574,plain,
product(X0,quotient(eta(X0),X1)) = product(j(j(X0)),j(X1)),
inference(superposition,[status(thm)],[c_13401,c_62]) ).
cnf(c_16597,plain,
product(x0,quotient(eta(x0),product(x1,x0))) != j(x1),
inference(demodulation,[status(thm)],[c_69,c_16574]) ).
cnf(c_27582,plain,
product(X0,product(i(product(X1,X0)),X1)) = product(difference(X1,one),X1),
inference(superposition,[status(thm)],[c_569,c_54]) ).
cnf(c_40184,plain,
quotient(product(difference(X0,one),X0),product(i(product(X0,X1)),X0)) = X1,
inference(superposition,[status(thm)],[c_27582,c_53]) ).
cnf(c_40243,plain,
quotient(eta(X0),product(i(product(X0,X1)),X0)) = X1,
inference(light_normalisation,[status(thm)],[c_40184,c_57,c_60]) ).
cnf(c_40472,plain,
quotient(eta(X0),product(i(X1),X0)) = difference(X0,X1),
inference(superposition,[status(thm)],[c_51,c_40243]) ).
cnf(c_41127,plain,
quotient(eta(X0),product(X1,X0)) = difference(X0,j(X1)),
inference(superposition,[status(thm)],[c_704,c_40472]) ).
cnf(c_41188,plain,
product(x0,difference(x0,j(x1))) != j(x1),
inference(demodulation,[status(thm)],[c_16597,c_41127]) ).
cnf(c_41189,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_41188,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GRP767-1 : TPTP v8.1.2. Released v4.1.0.
% 0.02/0.11 % Command : run_iprover %s %d THM
% 0.12/0.31 % Computer : n007.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Thu May 2 23:43:20 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.17/0.43 Running UEQ theorem proving
% 0.17/0.43 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
% 19.56/3.11 % SZS status Started for theBenchmark.p
% 19.56/3.11 % SZS status Unsatisfiable for theBenchmark.p
% 19.56/3.11
% 19.56/3.11 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 19.56/3.11
% 19.56/3.11 ------ iProver source info
% 19.56/3.11
% 19.56/3.11 git: date: 2024-05-02 19:28:25 +0000
% 19.56/3.11 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 19.56/3.11 git: non_committed_changes: false
% 19.56/3.11
% 19.56/3.11 ------ Parsing...successful
% 19.56/3.11
% 19.56/3.11
% 19.56/3.11
% 19.56/3.11 ------ Preprocessing... sup_sim: 2 sf_s rm: 0 0s sf_e pe_s pe_e
% 19.56/3.11
% 19.56/3.11 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 19.56/3.11
% 19.56/3.11 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 19.56/3.11 ------ Proving...
% 19.56/3.11 ------ Problem Properties
% 19.56/3.11
% 19.56/3.11
% 19.56/3.11 clauses 21
% 19.56/3.11 conjectures 1
% 19.56/3.11 EPR 0
% 19.56/3.11 Horn 21
% 19.56/3.11 unary 21
% 19.56/3.11 binary 0
% 19.56/3.11 lits 21
% 19.56/3.11 lits eq 21
% 19.56/3.11 fd_pure 0
% 19.56/3.11 fd_pseudo 0
% 19.56/3.11 fd_cond 0
% 19.56/3.11 fd_pseudo_cond 0
% 19.56/3.11 AC symbols 0
% 19.56/3.11
% 19.56/3.11 ------ Input Options Time Limit: Unbounded
% 19.56/3.11
% 19.56/3.11
% 19.56/3.11 ------
% 19.56/3.11 Current options:
% 19.56/3.11 ------
% 19.56/3.11
% 19.56/3.11
% 19.56/3.11
% 19.56/3.11
% 19.56/3.11 ------ Proving...
% 19.56/3.11
% 19.56/3.11
% 19.56/3.11 % SZS status Unsatisfiable for theBenchmark.p
% 19.56/3.11
% 19.56/3.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 19.56/3.11
% 20.16/3.12
%------------------------------------------------------------------------------