TSTP Solution File: ALG007-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG007-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 02:03:11 EDT 2024
% Result : Unsatisfiable 199.00s 24.64s
% Output : CNFRefutation 199.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of clauses : 39 ( 39 unt; 0 nHn; 2 RR)
% Number of literals : 39 ( 38 equ; 1 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 129 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
difference(X0,difference(X1,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_difference_1) ).
cnf(c_50,negated_conjecture,
difference(X0,difference(X0,X1)) = difference(X1,difference(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_difference_2) ).
cnf(c_51,negated_conjecture,
difference(difference(X0,X1),X2) = difference(difference(X0,X2),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_difference_3_simplified) ).
cnf(c_52,negated_conjecture,
difference(difference(a,c),difference(b,c)) != difference(difference(a,b),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_set_difference_3) ).
cnf(c_38244,plain,
difference(difference(X0,X1),X1) = difference(X0,X1),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_38504,plain,
difference(difference(X0,X1),difference(X2,X0)) = difference(X0,X1),
inference(superposition,[status(thm)],[c_49,c_51]) ).
cnf(c_38864,plain,
difference(difference(X0,difference(X0,X1)),X2) = difference(difference(X1,X2),difference(X1,X0)),
inference(superposition,[status(thm)],[c_50,c_51]) ).
cnf(c_40185,plain,
difference(difference(difference(X0,X1),X2),difference(X3,difference(X0,X2))) = difference(difference(X0,X1),X2),
inference(superposition,[status(thm)],[c_51,c_38504]) ).
cnf(c_40204,plain,
difference(X0,difference(X0,difference(X0,X1))) = difference(X0,X1),
inference(superposition,[status(thm)],[c_38504,c_50]) ).
cnf(c_40207,plain,
difference(difference(difference(X0,X1),X2),difference(X3,X0)) = difference(difference(X0,X1),X2),
inference(superposition,[status(thm)],[c_38504,c_51]) ).
cnf(c_40579,plain,
difference(difference(X0,X1),difference(X0,difference(X0,X2))) = difference(difference(X0,X2),X1),
inference(superposition,[status(thm)],[c_38504,c_38864]) ).
cnf(c_40581,plain,
difference(difference(difference(X0,X1),difference(difference(X0,X2),X1)),X3) = difference(difference(X2,X3),difference(X2,difference(X0,X1))),
inference(superposition,[status(thm)],[c_51,c_38864]) ).
cnf(c_40593,plain,
difference(difference(X0,difference(X0,X1)),difference(X1,X2)) = difference(difference(X2,difference(X2,X1)),difference(X1,X0)),
inference(superposition,[status(thm)],[c_50,c_38864]) ).
cnf(c_40602,plain,
difference(difference(difference(X0,X1),X2),difference(difference(X0,X3),X1)) = difference(difference(X3,difference(X3,difference(X0,X1))),X2),
inference(superposition,[status(thm)],[c_51,c_38864]) ).
cnf(c_40622,plain,
difference(difference(difference(X0,difference(X0,X1)),X2),X3) = difference(difference(difference(X1,X3),difference(X1,X0)),X2),
inference(superposition,[status(thm)],[c_38864,c_51]) ).
cnf(c_40623,plain,
difference(difference(X0,X1),difference(X0,X2)) = difference(difference(X2,X1),difference(X2,X0)),
inference(superposition,[status(thm)],[c_38864,c_51]) ).
cnf(c_40636,plain,
difference(difference(difference(X0,difference(X0,X1)),X2),difference(X3,difference(X1,X2))) = difference(difference(X0,difference(X0,X1)),X2),
inference(superposition,[status(thm)],[c_38864,c_38504]) ).
cnf(c_40648,plain,
difference(difference(X0,difference(X0,X1)),difference(X1,X2)) = difference(difference(X2,difference(X1,X0)),difference(X2,X1)),
inference(superposition,[status(thm)],[c_38864,c_38864]) ).
cnf(c_46384,plain,
difference(difference(X0,X1),difference(X0,difference(difference(X0,X2),X3))) = difference(difference(difference(X0,X2),X3),X1),
inference(superposition,[status(thm)],[c_40207,c_38864]) ).
cnf(c_49927,plain,
difference(difference(X0,X1),difference(X2,difference(X2,X0))) = difference(difference(X0,X2),X1),
inference(superposition,[status(thm)],[c_50,c_40579]) ).
cnf(c_50894,plain,
difference(difference(difference(X0,X1),X1),difference(difference(X0,X1),difference(X0,X2))) = difference(difference(X0,X2),X1),
inference(superposition,[status(thm)],[c_40623,c_40185]) ).
cnf(c_50901,plain,
difference(difference(X0,X1),difference(difference(X0,X1),difference(X0,X2))) = difference(difference(X0,X2),X1),
inference(demodulation,[status(thm)],[c_50894,c_38244]) ).
cnf(c_54107,plain,
difference(difference(difference(X0,X1),difference(X0,X2)),difference(X3,X2)) = difference(difference(X2,difference(X2,X0)),X1),
inference(superposition,[status(thm)],[c_38504,c_40622]) ).
cnf(c_54141,plain,
difference(difference(difference(X0,X1),difference(X0,difference(difference(X0,X2),X3))),X4) = difference(difference(difference(difference(X0,X2),X3),X4),X1),
inference(superposition,[status(thm)],[c_40207,c_40622]) ).
cnf(c_54207,plain,
difference(difference(difference(X0,difference(X0,difference(X0,X1))),X2),X3) = difference(difference(difference(X0,X1),X3),X2),
inference(superposition,[status(thm)],[c_40207,c_40622]) ).
cnf(c_54259,plain,
difference(difference(difference(difference(X0,difference(X0,X1)),difference(difference(X0,difference(X0,X1)),difference(X0,X2))),X3),X4) = difference(difference(difference(difference(X0,X2),X4),difference(difference(X0,X1),X2)),X3),
inference(superposition,[status(thm)],[c_40579,c_40622]) ).
cnf(c_54467,plain,
difference(difference(difference(X0,X1),X2),X3) = difference(difference(difference(X0,X1),X3),X2),
inference(demodulation,[status(thm)],[c_54207,c_40204]) ).
cnf(c_54480,plain,
difference(difference(difference(difference(X0,X1),X2),X3),X4) = difference(difference(difference(difference(X0,X1),X2),X4),X3),
inference(demodulation,[status(thm)],[c_54141,c_46384]) ).
cnf(c_54515,plain,
difference(difference(difference(difference(X0,X1),X2),difference(difference(X0,X3),X1)),X4) = difference(difference(difference(difference(X0,X1),difference(X0,X3)),X4),X2),
inference(demodulation,[status(thm)],[c_54259,c_50901]) ).
cnf(c_57826,plain,
difference(difference(X0,difference(X0,X1)),difference(X1,X1)) = difference(X1,difference(X1,X0)),
inference(superposition,[status(thm)],[c_49,c_40593]) ).
cnf(c_58013,plain,
difference(difference(difference(X0,difference(X0,X1)),difference(difference(X2,difference(X2,X1)),difference(X1,X0))),X3) = difference(difference(difference(X1,X2),X3),difference(difference(X1,X2),difference(X0,difference(X0,X1)))),
inference(superposition,[status(thm)],[c_40593,c_38864]) ).
cnf(c_58091,plain,
difference(difference(difference(X0,difference(X0,X1)),difference(difference(X2,difference(X2,X1)),difference(X1,X0))),X3) = difference(difference(difference(X1,X2),X3),difference(difference(X1,X0),X2)),
inference(demodulation,[status(thm)],[c_58013,c_49927]) ).
cnf(c_65593,plain,
difference(difference(difference(difference(X0,difference(X0,X1)),difference(difference(X2,difference(X2,X1)),difference(X1,X0))),X3),difference(X4,difference(difference(X1,X2),X3))) = difference(difference(difference(X0,difference(X0,X1)),difference(difference(X2,difference(X2,X1)),difference(X1,X0))),X3),
inference(superposition,[status(thm)],[c_40593,c_40636]) ).
cnf(c_65797,plain,
difference(difference(difference(X0,X1),X2),difference(difference(X0,X3),X1)) = difference(difference(difference(X0,X1),difference(X0,X3)),X2),
inference(demodulation,[status(thm)],[c_65593,c_40185,c_54480,c_54515,c_58091]) ).
cnf(c_69115,plain,
difference(difference(difference(X0,X1),difference(difference(X0,X1),X2)),difference(X2,X2)) = difference(difference(difference(X0,X1),difference(X2,X2)),difference(difference(X0,X2),X1)),
inference(superposition,[status(thm)],[c_40602,c_40648]) ).
cnf(c_69195,plain,
difference(difference(X0,difference(X0,X1)),X2) = difference(X0,difference(X0,difference(X1,X2))),
inference(demodulation,[status(thm)],[c_69115,c_54107,c_57826,c_65797]) ).
cnf(c_90911,plain,
difference(difference(difference(X0,X1),difference(difference(X0,difference(X0,X2)),X1)),X1) = difference(difference(X0,X2),X1),
inference(superposition,[status(thm)],[c_40581,c_40185]) ).
cnf(c_90936,plain,
difference(difference(X0,X1),difference(X2,X1)) = difference(difference(X0,X2),X1),
inference(demodulation,[status(thm)],[c_90911,c_51,c_38244,c_40579,c_54467,c_69195]) ).
cnf(c_91336,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_52,c_90936]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : ALG007-1 : TPTP v8.1.2. Released v2.2.0.
% 0.05/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n020.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 22:45:16 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.15/0.42 Running UEQ theorem proving
% 0.15/0.42 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
% 199.00/24.64 % SZS status Started for theBenchmark.p
% 199.00/24.64 % SZS status Unsatisfiable for theBenchmark.p
% 199.00/24.64
% 199.00/24.64 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 199.00/24.64
% 199.00/24.64 ------ iProver source info
% 199.00/24.64
% 199.00/24.64 git: date: 2024-05-02 19:28:25 +0000
% 199.00/24.64 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 199.00/24.64 git: non_committed_changes: false
% 199.00/24.64
% 199.00/24.64 ------ Parsing...successful
% 199.00/24.64
% 199.00/24.64
% 199.00/24.64
% 199.00/24.64 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 199.00/24.64
% 199.00/24.64 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 199.00/24.64
% 199.00/24.64 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 199.00/24.64 ------ Proving...
% 199.00/24.64 ------ Problem Properties
% 199.00/24.64
% 199.00/24.64
% 199.00/24.64 clauses 4
% 199.00/24.64 conjectures 4
% 199.00/24.64 EPR 0
% 199.00/24.64 Horn 4
% 199.00/24.64 unary 4
% 199.00/24.64 binary 0
% 199.00/24.64 lits 4
% 199.00/24.64 lits eq 4
% 199.00/24.64 fd_pure 0
% 199.00/24.64 fd_pseudo 0
% 199.00/24.64 fd_cond 0
% 199.00/24.64 fd_pseudo_cond 0
% 199.00/24.64 AC symbols 0
% 199.00/24.64
% 199.00/24.64 ------ Input Options Time Limit: Unbounded
% 199.00/24.64
% 199.00/24.64
% 199.00/24.64 ------
% 199.00/24.64 Current options:
% 199.00/24.64 ------
% 199.00/24.64
% 199.00/24.64
% 199.00/24.64
% 199.00/24.64
% 199.00/24.64 ------ Proving...
% 199.00/24.64
% 199.00/24.64
% 199.00/24.64 % SZS status Unsatisfiable for theBenchmark.p
% 199.00/24.64
% 199.00/24.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 199.00/24.64
% 199.00/24.64
%------------------------------------------------------------------------------