TSTP Solution File: GRP659-10 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP659-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 02:23:19 EDT 2024
% Result : Unsatisfiable 7.66s 1.45s
% Output : CNFRefutation 7.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 6
% Syntax : Number of clauses : 50 ( 50 unt; 0 nHn; 6 RR)
% Number of literals : 50 ( 49 equ; 5 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 : 6 ( 6 usr; 0 con; 1-2 aty)
% Number of variables : 98 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
cnf(c_50,plain,
ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
cnf(c_51,plain,
mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
cnf(c_52,plain,
rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
cnf(c_53,plain,
mult(mult(X0,mult(X1,X2)),X1) = mult(mult(X0,X1),mult(X2,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
cnf(c_54,negated_conjecture,
tuple(mult(X0,x1(X0)),mult(x1_2(X0),X0)) != tuple(x1(X0),x1_2(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(c_79,negated_conjecture,
tuple(mult(X0,x1(X0)),mult(x1_2(X0),X0)) != tuple(x1(X0),x1_2(X0)),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_131,plain,
ld(rd(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_51,c_50]) ).
cnf(c_133,plain,
rd(X0,ld(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_49,c_52]) ).
cnf(c_139,plain,
mult(mult(rd(X0,mult(X1,X2)),X1),mult(X2,X1)) = mult(X0,X1),
inference(superposition,[status(thm)],[c_51,c_53]) ).
cnf(c_141,plain,
mult(mult(X0,X1),mult(ld(X1,X2),X1)) = mult(mult(X0,X2),X1),
inference(superposition,[status(thm)],[c_49,c_53]) ).
cnf(c_161,plain,
mult(mult(rd(X0,mult(X1,rd(X2,X1))),X1),X2) = mult(X0,X1),
inference(superposition,[status(thm)],[c_51,c_139]) ).
cnf(c_164,plain,
mult(rd(X0,mult(X1,X2)),X1) = rd(mult(X0,X1),mult(X2,X1)),
inference(superposition,[status(thm)],[c_139,c_52]) ).
cnf(c_190,plain,
mult(mult(rd(X0,X1),X2),X1) = mult(X0,mult(ld(X1,X2),X1)),
inference(superposition,[status(thm)],[c_51,c_141]) ).
cnf(c_198,plain,
ld(mult(X0,X1),mult(mult(X0,X2),X1)) = mult(ld(X1,X2),X1),
inference(superposition,[status(thm)],[c_141,c_50]) ).
cnf(c_400,plain,
mult(rd(X0,mult(X1,rd(X2,X1))),X1) = rd(mult(X0,X1),X2),
inference(superposition,[status(thm)],[c_161,c_52]) ).
cnf(c_548,plain,
mult(X0,mult(ld(X1,X1),X1)) = mult(X0,X1),
inference(superposition,[status(thm)],[c_51,c_190]) ).
cnf(c_635,plain,
ld(X0,mult(X0,X1)) = mult(ld(X1,X1),X1),
inference(superposition,[status(thm)],[c_548,c_50]) ).
cnf(c_654,plain,
mult(ld(X0,X0),X0) = X0,
inference(light_normalisation,[status(thm)],[c_635,c_50]) ).
cnf(c_758,plain,
ld(X0,X0) = rd(X0,X0),
inference(superposition,[status(thm)],[c_654,c_52]) ).
cnf(c_807,plain,
ld(mult(X0,X1),mult(X0,X1)) = mult(rd(X0,mult(X1,X0)),X1),
inference(superposition,[status(thm)],[c_758,c_164]) ).
cnf(c_920,plain,
ld(mult(X0,X1),mult(X2,X1)) = mult(ld(X1,ld(X0,X2)),X1),
inference(superposition,[status(thm)],[c_49,c_198]) ).
cnf(c_3119,plain,
mult(ld(X0,ld(X1,ld(X0,X0))),X0) = ld(mult(X1,X0),X0),
inference(superposition,[status(thm)],[c_654,c_920]) ).
cnf(c_3595,plain,
mult(ld(X0,ld(X1,X1)),X0) = mult(rd(X1,mult(X0,X1)),X0),
inference(demodulation,[status(thm)],[c_807,c_920]) ).
cnf(c_3625,plain,
rd(mult(ld(X0,ld(X1,X1)),X0),X0) = rd(X1,mult(X0,X1)),
inference(superposition,[status(thm)],[c_3595,c_52]) ).
cnf(c_7584,plain,
ld(X0,ld(X1,X1)) = rd(X1,mult(X0,X1)),
inference(demodulation,[status(thm)],[c_3625,c_52]) ).
cnf(c_7598,plain,
ld(rd(X0,X1),ld(X1,X1)) = rd(X1,X0),
inference(superposition,[status(thm)],[c_51,c_7584]) ).
cnf(c_7609,plain,
ld(ld(X0,X0),ld(X0,X0)) = rd(X0,X0),
inference(superposition,[status(thm)],[c_654,c_7584]) ).
cnf(c_7623,plain,
ld(ld(X0,ld(X1,X1)),X1) = mult(X0,X1),
inference(superposition,[status(thm)],[c_7584,c_131]) ).
cnf(c_7644,plain,
ld(ld(X0,X0),ld(X0,X0)) = ld(X0,X0),
inference(light_normalisation,[status(thm)],[c_7609,c_758]) ).
cnf(c_7865,plain,
rd(ld(X0,X0),rd(X0,X1)) = rd(X1,X0),
inference(superposition,[status(thm)],[c_7598,c_133]) ).
cnf(c_7870,plain,
ld(mult(rd(X0,X1),X1),X1) = mult(ld(X1,rd(X1,X0)),X1),
inference(superposition,[status(thm)],[c_7598,c_3119]) ).
cnf(c_7871,plain,
mult(ld(X0,rd(X0,X1)),X0) = ld(X1,X0),
inference(light_normalisation,[status(thm)],[c_7870,c_51]) ).
cnf(c_7886,plain,
mult(rd(ld(X0,X0),X1),X0) = ld(X1,X0),
inference(superposition,[status(thm)],[c_131,c_7623]) ).
cnf(c_8669,plain,
rd(ld(X0,X0),X1) = rd(ld(X1,X0),X0),
inference(superposition,[status(thm)],[c_133,c_7865]) ).
cnf(c_8785,plain,
ld(X0,rd(X0,X1)) = rd(ld(X1,X0),X0),
inference(superposition,[status(thm)],[c_7871,c_52]) ).
cnf(c_9131,plain,
ld(mult(X0,rd(X1,X0)),X0) = rd(mult(ld(X0,X0),X0),X1),
inference(superposition,[status(thm)],[c_7886,c_400]) ).
cnf(c_9140,plain,
ld(mult(X0,rd(X1,X0)),X0) = rd(X0,X1),
inference(light_normalisation,[status(thm)],[c_9131,c_654]) ).
cnf(c_10631,plain,
ld(X0,rd(X0,X1)) = rd(ld(X0,X0),X1),
inference(light_normalisation,[status(thm)],[c_8669,c_8785]) ).
cnf(c_11717,plain,
ld(mult(X0,X1),X0) = rd(X0,mult(X1,X0)),
inference(superposition,[status(thm)],[c_52,c_9140]) ).
cnf(c_13094,plain,
ld(mult(X0,X1),X0) = ld(X1,ld(X0,X0)),
inference(demodulation,[status(thm)],[c_11717,c_7584]) ).
cnf(c_13135,plain,
rd(X0,ld(X1,ld(X0,X0))) = mult(X0,X1),
inference(superposition,[status(thm)],[c_13094,c_133]) ).
cnf(c_14943,plain,
ld(X0,rd(X0,ld(X1,ld(ld(X0,X0),ld(X0,X0))))) = mult(ld(X0,X0),X1),
inference(superposition,[status(thm)],[c_13135,c_10631]) ).
cnf(c_14956,plain,
mult(ld(X0,X0),X1) = X1,
inference(light_normalisation,[status(thm)],[c_14943,c_50,c_7644,c_13135]) ).
cnf(c_15003,plain,
ld(X0,X0) = rd(X1,X1),
inference(superposition,[status(thm)],[c_14956,c_52]) ).
cnf(c_15027,plain,
tuple(x1(ld(X0,X0)),mult(x1_2(ld(X0,X0)),ld(X0,X0))) != tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))),
inference(superposition,[status(thm)],[c_14956,c_79]) ).
cnf(c_15376,plain,
mult(X0,rd(X1,X1)) = X0,
inference(superposition,[status(thm)],[c_15003,c_49]) ).
cnf(c_15762,plain,
tuple(x1(rd(X0,X0)),mult(x1_2(rd(X0,X0)),rd(X0,X0))) != tuple(x1(rd(X0,X0)),x1_2(rd(X0,X0))),
inference(superposition,[status(thm)],[c_15003,c_15027]) ).
cnf(c_15770,plain,
tuple(x1(rd(X0,X0)),x1_2(rd(X0,X0))) != tuple(x1(rd(X0,X0)),x1_2(rd(X0,X0))),
inference(demodulation,[status(thm)],[c_15762,c_15376]) ).
cnf(c_15771,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_15770]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : GRP659-10 : TPTP v8.1.2. Released v8.1.0.
% 0.02/0.08 % Command : run_iprover %s %d THM
% 0.07/0.27 % Computer : n012.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Thu May 2 23:44:55 EDT 2024
% 0.07/0.27 % CPUTime :
% 0.11/0.35 Running UEQ theorem proving
% 0.11/0.35 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.66/1.45 % SZS status Started for theBenchmark.p
% 7.66/1.45 % SZS status Unsatisfiable for theBenchmark.p
% 7.66/1.45
% 7.66/1.45 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.66/1.45
% 7.66/1.45 ------ iProver source info
% 7.66/1.45
% 7.66/1.45 git: date: 2024-05-02 19:28:25 +0000
% 7.66/1.45 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.66/1.45 git: non_committed_changes: false
% 7.66/1.45
% 7.66/1.45 ------ Parsing...successful
% 7.66/1.45
% 7.66/1.45
% 7.66/1.45
% 7.66/1.45 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 7.66/1.45
% 7.66/1.45 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.66/1.45
% 7.66/1.45 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.66/1.45 ------ Proving...
% 7.66/1.45 ------ Problem Properties
% 7.66/1.45
% 7.66/1.45
% 7.66/1.45 clauses 6
% 7.66/1.45 conjectures 1
% 7.66/1.45 EPR 0
% 7.66/1.45 Horn 6
% 7.66/1.45 unary 6
% 7.66/1.45 binary 0
% 7.66/1.45 lits 6
% 7.66/1.45 lits eq 6
% 7.66/1.45 fd_pure 0
% 7.66/1.45 fd_pseudo 0
% 7.66/1.45 fd_cond 0
% 7.66/1.45 fd_pseudo_cond 0
% 7.66/1.45 AC symbols 0
% 7.66/1.45
% 7.66/1.45 ------ Input Options Time Limit: Unbounded
% 7.66/1.45
% 7.66/1.45
% 7.66/1.45 ------
% 7.66/1.45 Current options:
% 7.66/1.45 ------
% 7.66/1.45
% 7.66/1.45
% 7.66/1.45
% 7.66/1.45
% 7.66/1.45 ------ Proving...
% 7.66/1.45
% 7.66/1.45
% 7.66/1.45 % SZS status Unsatisfiable for theBenchmark.p
% 7.66/1.45
% 7.66/1.45 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.66/1.45
% 7.66/1.45
%------------------------------------------------------------------------------