TSTP Solution File: GRP669-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP669-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 02:23:23 EDT 2024
% Result : Unsatisfiable 23.26s 3.60s
% Output : CNFRefutation 23.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 10
% Syntax : Number of clauses : 61 ( 61 unt; 0 nHn; 4 RR)
% Number of literals : 61 ( 60 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 127 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
cnf(c_50,plain,
ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
cnf(c_51,plain,
mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
cnf(c_52,plain,
rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
cnf(c_53,plain,
mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
cnf(c_54,plain,
mult(unit,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
cnf(c_55,plain,
mult(mult(mult(X0,X1),X0),X2) = mult(X0,mult(X1,mult(X0,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
cnf(c_56,plain,
mult(mult(mult(X0,X1),X2),X1) = mult(X0,mult(X1,mult(X2,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
cnf(c_58,plain,
mult(mult(X0,X1),mult(X2,X0)) = mult(X0,mult(mult(X1,X2),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).
cnf(c_59,negated_conjecture,
mult(mult(mult(a,mult(b,c)),a),b) != mult(mult(a,b),mult(c,mult(a,b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(c_92,plain,
mult(mult(a,b),mult(c,mult(a,b))) != mult(a,mult(b,mult(mult(c,a),b))),
inference(demodulation,[status(thm)],[c_59,c_55,c_58]) ).
cnf(c_155,plain,
ld(X0,X0) = unit,
inference(superposition,[status(thm)],[c_53,c_50]) ).
cnf(c_163,plain,
ld(rd(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_51,c_50]) ).
cnf(c_169,plain,
rd(X0,ld(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_49,c_52]) ).
cnf(c_184,plain,
mult(X0,mult(X1,mult(X0,ld(mult(mult(X0,X1),X0),X2)))) = X2,
inference(superposition,[status(thm)],[c_55,c_49]) ).
cnf(c_187,plain,
ld(mult(mult(X0,X1),X0),mult(X0,mult(X1,mult(X0,X2)))) = X2,
inference(superposition,[status(thm)],[c_55,c_50]) ).
cnf(c_188,plain,
mult(X0,mult(X1,mult(X0,unit))) = mult(mult(X0,X1),X0),
inference(superposition,[status(thm)],[c_55,c_53]) ).
cnf(c_190,plain,
mult(mult(X0,X1),X0) = mult(X0,mult(X1,X0)),
inference(light_normalisation,[status(thm)],[c_188,c_53]) ).
cnf(c_208,plain,
mult(X0,mult(X1,mult(unit,X1))) = mult(mult(X0,X1),X1),
inference(superposition,[status(thm)],[c_53,c_56]) ).
cnf(c_245,plain,
rd(mult(X0,mult(mult(X1,X2),X0)),mult(X2,X0)) = mult(X0,X1),
inference(superposition,[status(thm)],[c_58,c_52]) ).
cnf(c_247,plain,
mult(mult(X0,mult(mult(X1,X2),X0)),X1) = mult(X0,mult(X1,mult(mult(X2,X0),X1))),
inference(superposition,[status(thm)],[c_58,c_56]) ).
cnf(c_277,plain,
mult(X0,mult(ld(X0,X1),X0)) = mult(X1,X0),
inference(superposition,[status(thm)],[c_49,c_190]) ).
cnf(c_314,plain,
rd(mult(X0,X1),mult(ld(X1,X0),X1)) = X1,
inference(superposition,[status(thm)],[c_277,c_52]) ).
cnf(c_398,plain,
rd(X0,mult(ld(X0,unit),X0)) = X0,
inference(superposition,[status(thm)],[c_54,c_314]) ).
cnf(c_428,plain,
mult(ld(X0,unit),X0) = ld(X0,X0),
inference(superposition,[status(thm)],[c_398,c_163]) ).
cnf(c_430,plain,
mult(ld(X0,unit),X0) = unit,
inference(light_normalisation,[status(thm)],[c_428,c_155]) ).
cnf(c_2282,plain,
mult(mult(X0,X1),X1) = mult(X0,mult(X1,X1)),
inference(superposition,[status(thm)],[c_54,c_208]) ).
cnf(c_2394,plain,
mult(rd(X0,X1),mult(X1,X1)) = mult(X0,X1),
inference(superposition,[status(thm)],[c_51,c_2282]) ).
cnf(c_2417,plain,
rd(mult(X0,mult(X1,X1)),X1) = mult(X0,X1),
inference(superposition,[status(thm)],[c_2282,c_52]) ).
cnf(c_2480,plain,
ld(rd(X0,X1),mult(X0,X1)) = mult(X1,X1),
inference(superposition,[status(thm)],[c_2394,c_50]) ).
cnf(c_4224,plain,
mult(X0,mult(X1,mult(X0,ld(mult(X0,mult(X1,X0)),X2)))) = X2,
inference(light_normalisation,[status(thm)],[c_184,c_190]) ).
cnf(c_4251,plain,
mult(X0,mult(ld(X0,unit),mult(X0,ld(mult(X0,unit),X1)))) = X1,
inference(superposition,[status(thm)],[c_430,c_4224]) ).
cnf(c_4294,plain,
mult(X0,mult(ld(X0,unit),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_4251,c_49,c_53]) ).
cnf(c_4353,plain,
ld(ld(X0,unit),X1) = mult(X0,X1),
inference(superposition,[status(thm)],[c_49,c_4294]) ).
cnf(c_4382,plain,
mult(ld(X0,unit),X1) = ld(X0,X1),
inference(superposition,[status(thm)],[c_4294,c_50]) ).
cnf(c_4560,plain,
rd(ld(X0,X1),X1) = ld(X0,unit),
inference(superposition,[status(thm)],[c_4382,c_52]) ).
cnf(c_4583,plain,
rd(ld(X0,mult(X1,X1)),X1) = mult(ld(X0,unit),X1),
inference(superposition,[status(thm)],[c_4382,c_2417]) ).
cnf(c_4592,plain,
rd(ld(X0,mult(X1,X1)),X1) = ld(X0,X1),
inference(light_normalisation,[status(thm)],[c_4583,c_4382]) ).
cnf(c_4644,plain,
ld(rd(X0,X1),unit) = rd(X1,X0),
inference(superposition,[status(thm)],[c_163,c_4560]) ).
cnf(c_4762,plain,
ld(rd(X0,X1),X2) = mult(rd(X1,X0),X2),
inference(superposition,[status(thm)],[c_4644,c_4382]) ).
cnf(c_4773,plain,
mult(rd(X0,X1),mult(X1,X0)) = mult(X0,X0),
inference(demodulation,[status(thm)],[c_2480,c_4762]) ).
cnf(c_5030,plain,
ld(X0,mult(X1,X1)) = mult(ld(X0,X1),X1),
inference(superposition,[status(thm)],[c_4592,c_51]) ).
cnf(c_5084,plain,
mult(X0,mult(ld(X0,X1),X1)) = mult(X1,X1),
inference(superposition,[status(thm)],[c_5030,c_49]) ).
cnf(c_5193,plain,
ld(mult(X0,mult(X1,X0)),mult(X0,mult(X1,mult(X0,X2)))) = X2,
inference(light_normalisation,[status(thm)],[c_187,c_190]) ).
cnf(c_5238,plain,
ld(mult(X0,mult(X1,X0)),mult(X0,mult(X1,X2))) = ld(X0,X2),
inference(superposition,[status(thm)],[c_49,c_5193]) ).
cnf(c_5539,plain,
rd(mult(X0,X0),mult(X1,X0)) = rd(X0,X1),
inference(superposition,[status(thm)],[c_4773,c_52]) ).
cnf(c_7275,plain,
rd(mult(X0,mult(X1,X0)),mult(X2,X0)) = mult(X0,rd(X1,X2)),
inference(superposition,[status(thm)],[c_51,c_245]) ).
cnf(c_11605,plain,
ld(mult(X0,mult(ld(X0,X1),X0)),mult(X1,X1)) = ld(X0,X1),
inference(superposition,[status(thm)],[c_5084,c_5238]) ).
cnf(c_11669,plain,
ld(mult(X0,X1),mult(X0,X0)) = ld(X1,X0),
inference(light_normalisation,[status(thm)],[c_11605,c_277]) ).
cnf(c_11888,plain,
rd(mult(X0,X0),ld(X1,X0)) = mult(X0,X1),
inference(superposition,[status(thm)],[c_11669,c_169]) ).
cnf(c_12241,plain,
rd(mult(X0,X0),mult(X1,X0)) = mult(X0,ld(X1,unit)),
inference(superposition,[status(thm)],[c_4353,c_11888]) ).
cnf(c_12267,plain,
mult(X0,ld(X1,unit)) = rd(X0,X1),
inference(light_normalisation,[status(thm)],[c_12241,c_5539]) ).
cnf(c_12332,plain,
mult(X0,mult(rd(X1,X2),unit)) = rd(X0,rd(X2,X1)),
inference(superposition,[status(thm)],[c_4762,c_12267]) ).
cnf(c_17824,plain,
mult(X0,rd(X1,rd(X2,X0))) = rd(mult(X0,mult(X1,X0)),X2),
inference(superposition,[status(thm)],[c_51,c_7275]) ).
cnf(c_37146,plain,
mult(X0,rd(X1,X2)) = rd(X0,rd(X2,X1)),
inference(superposition,[status(thm)],[c_53,c_12332]) ).
cnf(c_37427,plain,
mult(X0,mult(X1,rd(X0,X2))) = rd(mult(X0,mult(X1,X0)),X2),
inference(demodulation,[status(thm)],[c_17824,c_37146]) ).
cnf(c_39544,plain,
mult(mult(X0,mult(X1,rd(X0,X2))),X2) = mult(X0,mult(X1,X0)),
inference(superposition,[status(thm)],[c_37427,c_51]) ).
cnf(c_40840,plain,
mult(mult(mult(X0,X1),mult(X2,X0)),X1) = mult(mult(X0,X1),mult(X2,mult(X0,X1))),
inference(superposition,[status(thm)],[c_52,c_39544]) ).
cnf(c_40971,plain,
mult(mult(X0,X1),mult(X2,mult(X0,X1))) = mult(X0,mult(X1,mult(mult(X2,X0),X1))),
inference(light_normalisation,[status(thm)],[c_40840,c_58,c_247]) ).
cnf(c_41009,plain,
mult(a,mult(b,mult(mult(c,a),b))) != mult(a,mult(b,mult(mult(c,a),b))),
inference(demodulation,[status(thm)],[c_92,c_40971]) ).
cnf(c_41010,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_41009]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP669-1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n005.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 23:58:41 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.16/0.42 Running UEQ theorem proving
% 0.16/0.42 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
% 23.26/3.60 % SZS status Started for theBenchmark.p
% 23.26/3.60 % SZS status Unsatisfiable for theBenchmark.p
% 23.26/3.60
% 23.26/3.60 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 23.26/3.60
% 23.26/3.60 ------ iProver source info
% 23.26/3.60
% 23.26/3.60 git: date: 2024-05-02 19:28:25 +0000
% 23.26/3.60 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 23.26/3.60 git: non_committed_changes: false
% 23.26/3.60
% 23.26/3.60 ------ Parsing...successful
% 23.26/3.60
% 23.26/3.60
% 23.26/3.60
% 23.26/3.60 ------ Preprocessing... sup_sim: 2 sf_s rm: 0 0s sf_e pe_s pe_e
% 23.26/3.60
% 23.26/3.60 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 23.26/3.60
% 23.26/3.60 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 23.26/3.60 ------ Proving...
% 23.26/3.60 ------ Problem Properties
% 23.26/3.60
% 23.26/3.60
% 23.26/3.60 clauses 11
% 23.26/3.60 conjectures 0
% 23.26/3.60 EPR 0
% 23.26/3.60 Horn 11
% 23.26/3.60 unary 11
% 23.26/3.60 binary 0
% 23.26/3.60 lits 11
% 23.26/3.60 lits eq 11
% 23.26/3.60 fd_pure 0
% 23.26/3.60 fd_pseudo 0
% 23.26/3.60 fd_cond 0
% 23.26/3.60 fd_pseudo_cond 0
% 23.26/3.60 AC symbols 0
% 23.26/3.60
% 23.26/3.60 ------ Input Options Time Limit: Unbounded
% 23.26/3.60
% 23.26/3.60
% 23.26/3.60 ------
% 23.26/3.60 Current options:
% 23.26/3.60 ------
% 23.26/3.60
% 23.26/3.60
% 23.26/3.60
% 23.26/3.60
% 23.26/3.60 ------ Proving...
% 23.26/3.60
% 23.26/3.60
% 23.26/3.60 % SZS status Unsatisfiable for theBenchmark.p
% 23.26/3.60
% 23.26/3.60 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 23.26/3.60
% 23.26/3.61
%------------------------------------------------------------------------------