TSTP Solution File: GRP767-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP767-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 : Mon Jun 24 07:02:08 EDT 2024
% Result : Unsatisfiable 19.77s 3.20s
% Output : CNFRefutation 19.77s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% 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_64,plain,
product(product(eta(X0),X1),X2) = product(eta(X0),product(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos16) ).
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_140,plain,
j(x0) = sP0_iProver_def,
definition ).
cnf(c_141,plain,
j(sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_142,plain,
product(x1,x0) = sP2_iProver_def,
definition ).
cnf(c_143,plain,
j(sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_144,plain,
product(sP1_iProver_def,sP3_iProver_def) = sP4_iProver_def,
definition ).
cnf(c_145,plain,
j(x1) = sP5_iProver_def,
definition ).
cnf(c_146,negated_conjecture,
sP4_iProver_def != sP5_iProver_def,
inference(demodulation,[status(thm)],[c_69,c_145,c_142,c_143,c_140,c_141,c_144]) ).
cnf(c_1310,plain,
quotient(product(difference(X0,X1),product(X2,X0)),X0) = difference(X0,product(X1,X2)),
inference(superposition,[status(thm)],[c_51,c_55]) ).
cnf(c_1399,plain,
quotient(quotient(product(difference(X0,X1),product(X2,X0)),X0),X2) = difference(product(X2,X0),product(X2,X1)),
inference(superposition,[status(thm)],[c_51,c_56]) ).
cnf(c_1437,plain,
difference(product(X0,X1),product(X0,X2)) = quotient(difference(X1,product(X2,X0)),X0),
inference(demodulation,[status(thm)],[c_1399,c_1310]) ).
cnf(c_2117,plain,
quotient(X0,X0) = one,
inference(superposition,[status(thm)],[c_50,c_53]) ).
cnf(c_2119,plain,
quotient(sP2_iProver_def,x0) = x1,
inference(superposition,[status(thm)],[c_142,c_53]) ).
cnf(c_2131,plain,
product(j(X0),X0) = one,
inference(superposition,[status(thm)],[c_58,c_54]) ).
cnf(c_2139,plain,
product(sP0_iProver_def,x0) = one,
inference(superposition,[status(thm)],[c_140,c_2131]) ).
cnf(c_2140,plain,
product(sP5_iProver_def,x1) = one,
inference(superposition,[status(thm)],[c_145,c_2131]) ).
cnf(c_2142,plain,
product(sP1_iProver_def,sP0_iProver_def) = one,
inference(superposition,[status(thm)],[c_141,c_2131]) ).
cnf(c_2143,plain,
product(sP3_iProver_def,sP2_iProver_def) = one,
inference(superposition,[status(thm)],[c_143,c_2131]) ).
cnf(c_2147,plain,
difference(j(X0),one) = X0,
inference(superposition,[status(thm)],[c_2131,c_52]) ).
cnf(c_2148,plain,
i(j(X0)) = X0,
inference(demodulation,[status(thm)],[c_2147,c_57]) ).
cnf(c_2150,plain,
difference(sP0_iProver_def,one) = x0,
inference(superposition,[status(thm)],[c_2139,c_52]) ).
cnf(c_2151,plain,
i(sP0_iProver_def) = x0,
inference(demodulation,[status(thm)],[c_2150,c_57]) ).
cnf(c_2160,plain,
difference(sP1_iProver_def,one) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_2142,c_52]) ).
cnf(c_2161,plain,
i(sP1_iProver_def) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_2160,c_57]) ).
cnf(c_2165,plain,
difference(sP3_iProver_def,one) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_2143,c_52]) ).
cnf(c_2166,plain,
i(sP3_iProver_def) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_2165,c_57]) ).
cnf(c_2177,plain,
product(X0,j(X0)) = eta(j(X0)),
inference(superposition,[status(thm)],[c_2148,c_60]) ).
cnf(c_2178,plain,
product(x0,sP0_iProver_def) = eta(sP0_iProver_def),
inference(superposition,[status(thm)],[c_2151,c_60]) ).
cnf(c_2255,plain,
product(i(X0),X0) = eta(j(X0)),
inference(light_normalisation,[status(thm)],[c_59,c_2177]) ).
cnf(c_2267,plain,
eta(j(X0)) = eta(X0),
inference(superposition,[status(thm)],[c_2255,c_60]) ).
cnf(c_2283,plain,
eta(sP0_iProver_def) = eta(sP1_iProver_def),
inference(superposition,[status(thm)],[c_141,c_2267]) ).
cnf(c_2627,plain,
product(X0,quotient(product(X1,product(X2,X0)),X0)) = product(product(X0,X1),X2),
inference(superposition,[status(thm)],[c_55,c_51]) ).
cnf(c_2693,plain,
product(eta(sP0_iProver_def),product(sP1_iProver_def,X0)) = product(i(i(sP1_iProver_def)),X0),
inference(superposition,[status(thm)],[c_2283,c_61]) ).
cnf(c_2706,plain,
product(i(i(sP1_iProver_def)),sP3_iProver_def) = product(eta(sP1_iProver_def),sP4_iProver_def),
inference(superposition,[status(thm)],[c_144,c_61]) ).
cnf(c_2727,plain,
product(eta(sP0_iProver_def),sP4_iProver_def) = product(x0,sP3_iProver_def),
inference(demodulation,[status(thm)],[c_2706,c_2151,c_2161,c_2283]) ).
cnf(c_2734,plain,
product(eta(sP0_iProver_def),product(sP1_iProver_def,X0)) = product(x0,X0),
inference(demodulation,[status(thm)],[c_2693,c_2151,c_2161]) ).
cnf(c_2801,plain,
quotient(difference(X0,product(one,X1)),X1) = difference(product(X1,X0),X1),
inference(superposition,[status(thm)],[c_49,c_1437]) ).
cnf(c_2817,plain,
quotient(difference(X0,product(sP0_iProver_def,x0)),x0) = difference(product(x0,X0),eta(sP0_iProver_def)),
inference(superposition,[status(thm)],[c_2178,c_1437]) ).
cnf(c_2830,plain,
difference(product(X0,X1),X0) = quotient(difference(X1,X0),X0),
inference(demodulation,[status(thm)],[c_2801,c_50]) ).
cnf(c_2838,plain,
difference(product(x0,X0),eta(sP0_iProver_def)) = quotient(i(X0),x0),
inference(demodulation,[status(thm)],[c_2817,c_57,c_2139]) ).
cnf(c_3215,plain,
quotient(difference(sP4_iProver_def,eta(sP0_iProver_def)),eta(sP0_iProver_def)) = difference(product(x0,sP3_iProver_def),eta(sP0_iProver_def)),
inference(superposition,[status(thm)],[c_2727,c_2830]) ).
cnf(c_3226,plain,
quotient(difference(sP4_iProver_def,eta(sP0_iProver_def)),eta(sP0_iProver_def)) = x1,
inference(demodulation,[status(thm)],[c_3215,c_2119,c_2166,c_2838]) ).
cnf(c_4870,plain,
product(eta(sP0_iProver_def),product(sP4_iProver_def,X0)) = product(product(x0,sP3_iProver_def),X0),
inference(superposition,[status(thm)],[c_2727,c_64]) ).
cnf(c_4898,plain,
quotient(product(eta(X0),product(X1,X2)),X2) = product(eta(X0),X1),
inference(superposition,[status(thm)],[c_64,c_53]) ).
cnf(c_8373,plain,
product(x1,eta(sP0_iProver_def)) = difference(sP4_iProver_def,eta(sP0_iProver_def)),
inference(superposition,[status(thm)],[c_3226,c_54]) ).
cnf(c_11769,plain,
product(sP4_iProver_def,product(x1,eta(sP0_iProver_def))) = eta(sP0_iProver_def),
inference(superposition,[status(thm)],[c_8373,c_51]) ).
cnf(c_16793,plain,
difference(eta(sP0_iProver_def),product(x0,X0)) = product(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_2734,c_52]) ).
cnf(c_17445,plain,
product(eta(sP0_iProver_def),quotient(eta(sP0_iProver_def),eta(sP0_iProver_def))) = product(product(eta(sP0_iProver_def),sP4_iProver_def),x1),
inference(superposition,[status(thm)],[c_11769,c_2627]) ).
cnf(c_17596,plain,
product(product(x0,sP3_iProver_def),x1) = eta(sP0_iProver_def),
inference(demodulation,[status(thm)],[c_17445,c_49,c_64,c_2117,c_4870]) ).
cnf(c_20307,plain,
quotient(eta(sP0_iProver_def),x1) = product(x0,sP3_iProver_def),
inference(superposition,[status(thm)],[c_17596,c_53]) ).
cnf(c_27330,plain,
quotient(product(eta(X0),one),x1) = product(eta(X0),sP5_iProver_def),
inference(superposition,[status(thm)],[c_2140,c_4898]) ).
cnf(c_27455,plain,
product(eta(X0),sP5_iProver_def) = quotient(eta(X0),x1),
inference(demodulation,[status(thm)],[c_27330,c_49]) ).
cnf(c_27590,plain,
product(eta(sP0_iProver_def),sP5_iProver_def) = product(x0,sP3_iProver_def),
inference(demodulation,[status(thm)],[c_20307,c_27455]) ).
cnf(c_28466,plain,
difference(eta(sP0_iProver_def),product(x0,sP3_iProver_def)) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_27590,c_52]) ).
cnf(c_28479,plain,
sP4_iProver_def = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_28466,c_144,c_16793]) ).
cnf(c_28480,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_28479,c_146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP767-1 : TPTP v8.2.0. Released v4.1.0.
% 0.08/0.12 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Jun 20 10:00:09 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running UEQ theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 19.77/3.20 % SZS status Started for theBenchmark.p
% 19.77/3.20 % SZS status Unsatisfiable for theBenchmark.p
% 19.77/3.20
% 19.77/3.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 19.77/3.20
% 19.77/3.20 ------ iProver source info
% 19.77/3.20
% 19.77/3.20 git: date: 2024-06-12 09:56:46 +0000
% 19.77/3.20 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 19.77/3.20 git: non_committed_changes: false
% 19.77/3.20
% 19.77/3.20 ------ Parsing...successful
% 19.77/3.20
% 19.77/3.20
% 19.77/3.20
% 19.77/3.20 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 19.77/3.20
% 19.77/3.20 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 19.77/3.20
% 19.77/3.20 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 19.77/3.20 ------ Proving...
% 19.77/3.20 ------ Problem Properties
% 19.77/3.20
% 19.77/3.20
% 19.77/3.20 clauses 27
% 19.77/3.20 conjectures 1
% 19.77/3.20 EPR 1
% 19.77/3.20 Horn 27
% 19.77/3.20 unary 27
% 19.77/3.20 binary 0
% 19.77/3.20 lits 27
% 19.77/3.20 lits eq 27
% 19.77/3.20 fd_pure 0
% 19.77/3.20 fd_pseudo 0
% 19.77/3.20 fd_cond 0
% 19.77/3.20 fd_pseudo_cond 0
% 19.77/3.20 AC symbols 0
% 19.77/3.20
% 19.77/3.20 ------ Input Options Time Limit: Unbounded
% 19.77/3.20
% 19.77/3.20
% 19.77/3.20 ------
% 19.77/3.20 Current options:
% 19.77/3.20 ------
% 19.77/3.20
% 19.77/3.20
% 19.77/3.20
% 19.77/3.20
% 19.77/3.20 ------ Proving...
% 19.77/3.20
% 19.77/3.20
% 19.77/3.20 % SZS status Unsatisfiable for theBenchmark.p
% 19.77/3.20
% 19.77/3.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 19.77/3.20
% 19.77/3.21
%------------------------------------------------------------------------------