TSTP Solution File: KLE090-10 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : KLE090-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 : Thu Aug 31 05:32:04 EDT 2023
% Result : Unsatisfiable 110.50s 14.67s
% Output : CNFRefutation 110.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of clauses : 50 ( 50 unt; 0 nHn; 12 RR)
% Number of literals : 50 ( 49 equ; 2 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 : 11 ( 11 usr; 5 con; 0-4 aty)
% Number of variables : 73 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(c_50,plain,
ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).
cnf(c_51,plain,
addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
cnf(c_52,plain,
addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
cnf(c_53,plain,
addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
cnf(c_54,plain,
addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
cnf(c_56,plain,
multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
cnf(c_57,plain,
multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
cnf(c_58,plain,
addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
cnf(c_59,plain,
addition(multiplication(X0,X1),multiplication(X2,X1)) = multiplication(addition(X0,X2),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
cnf(c_61,plain,
multiplication(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
cnf(c_62,plain,
ifeq(leq(X0,X1),true,addition(X0,X1),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order_1) ).
cnf(c_63,plain,
ifeq2(addition(X0,X1),X1,leq(X0,X1),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
cnf(c_64,plain,
multiplication(antidomain(X0),X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
cnf(c_65,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain2) ).
cnf(c_66,plain,
addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).
cnf(c_72,negated_conjecture,
addition(sK2_goals_X0,sK1_goals_X1) = sK1_goals_X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(c_73,negated_conjecture,
addition(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)) != antidomain(sK2_goals_X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_1) ).
cnf(c_95,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = one,
inference(theory_normalisation,[status(thm)],[c_66,c_52,c_51]) ).
cnf(c_97,negated_conjecture,
addition(antidomain(sK2_goals_X0),antidomain(sK1_goals_X1)) != antidomain(sK2_goals_X0),
inference(theory_normalisation,[status(thm)],[c_73,c_52,c_51]) ).
cnf(c_266,plain,
addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(superposition,[status(thm)],[c_52,c_51]) ).
cnf(c_660,plain,
addition(zero,X0) = X0,
inference(superposition,[status(thm)],[c_53,c_51]) ).
cnf(c_711,plain,
antidomain(one) = zero,
inference(superposition,[status(thm)],[c_64,c_56]) ).
cnf(c_712,plain,
addition(multiplication(antidomain(addition(X0,X1)),X0),multiplication(antidomain(addition(X0,X1)),X1)) = zero,
inference(superposition,[status(thm)],[c_64,c_58]) ).
cnf(c_751,plain,
addition(multiplication(antidomain(multiplication(X0,X1)),X2),multiplication(antidomain(multiplication(X0,antidomain(antidomain(X1)))),X2)) = multiplication(antidomain(multiplication(X0,antidomain(antidomain(X1)))),X2),
inference(superposition,[status(thm)],[c_65,c_59]) ).
cnf(c_1178,plain,
addition(multiplication(X0,antidomain(X1)),multiplication(X0,antidomain(antidomain(X1)))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_95,c_58]) ).
cnf(c_1179,plain,
addition(multiplication(antidomain(X0),X1),multiplication(antidomain(antidomain(X0)),X1)) = multiplication(one,X1),
inference(superposition,[status(thm)],[c_95,c_59]) ).
cnf(c_1263,plain,
ifeq2(addition(X0,addition(X1,X2)),addition(X0,X2),leq(X1,addition(X0,X2)),true) = true,
inference(superposition,[status(thm)],[c_266,c_63]) ).
cnf(c_1734,plain,
addition(multiplication(antidomain(X0),X1),multiplication(antidomain(antidomain(X0)),X1)) = X1,
inference(demodulation,[status(thm)],[c_1179,c_57]) ).
cnf(c_1735,plain,
addition(multiplication(X0,antidomain(X1)),multiplication(X0,antidomain(antidomain(X1)))) = X0,
inference(demodulation,[status(thm)],[c_1178,c_56]) ).
cnf(c_1953,plain,
addition(multiplication(antidomain(sK1_goals_X1),sK2_goals_X0),multiplication(antidomain(sK1_goals_X1),sK1_goals_X1)) = zero,
inference(superposition,[status(thm)],[c_72,c_712]) ).
cnf(c_2141,plain,
addition(multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,antidomain(antidomain(X1)))),zero) = zero,
inference(superposition,[status(thm)],[c_64,c_751]) ).
cnf(c_2365,plain,
multiplication(antidomain(sK1_goals_X1),sK2_goals_X0) = zero,
inference(demodulation,[status(thm)],[c_1953,c_53,c_64]) ).
cnf(c_2380,plain,
multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,antidomain(antidomain(X1)))) = zero,
inference(demodulation,[status(thm)],[c_2141,c_53]) ).
cnf(c_6322,plain,
addition(multiplication(zero,X0),multiplication(antidomain(zero),X0)) = X0,
inference(superposition,[status(thm)],[c_711,c_1734]) ).
cnf(c_6346,plain,
multiplication(antidomain(zero),X0) = X0,
inference(demodulation,[status(thm)],[c_6322,c_61,c_660]) ).
cnf(c_10137,plain,
ifeq2(addition(X0,X1),addition(addition(X0,X1),X1),leq(X0,addition(addition(X0,X1),X1)),true) = true,
inference(superposition,[status(thm)],[c_54,c_1263]) ).
cnf(c_11033,plain,
ifeq2(addition(X0,X1),addition(X0,addition(X1,X1)),leq(X0,addition(X0,addition(X1,X1))),true) = true,
inference(theory_normalisation,[status(thm)],[c_10137,c_52,c_51]) ).
cnf(c_11034,plain,
ifeq2(addition(X0,X1),addition(X0,X1),leq(X0,addition(X0,X1)),true) = true,
inference(ac_demodulation,[status(thm)],[c_11033,c_54,c_54,c_52,c_51]) ).
cnf(c_11035,plain,
leq(X0,addition(X0,X1)) = true,
inference(demodulation,[status(thm)],[c_11034,c_49]) ).
cnf(c_20810,plain,
leq(multiplication(antidomain(X0),X1),X1) = true,
inference(superposition,[status(thm)],[c_1734,c_11035]) ).
cnf(c_36806,plain,
ifeq(true,true,addition(multiplication(antidomain(X0),X1),X1),X1) = X1,
inference(superposition,[status(thm)],[c_20810,c_62]) ).
cnf(c_37777,plain,
addition(multiplication(antidomain(X0),X1),X1) = X1,
inference(demodulation,[status(thm)],[c_36806,c_50]) ).
cnf(c_37778,plain,
addition(X0,multiplication(antidomain(X1),X0)) = X0,
inference(theory_normalisation,[status(thm)],[c_37777,c_52,c_51]) ).
cnf(c_124534,plain,
multiplication(antidomain(zero),multiplication(antidomain(sK1_goals_X1),antidomain(antidomain(sK2_goals_X0)))) = zero,
inference(superposition,[status(thm)],[c_2365,c_2380]) ).
cnf(c_124674,plain,
multiplication(antidomain(sK1_goals_X1),antidomain(antidomain(sK2_goals_X0))) = zero,
inference(demodulation,[status(thm)],[c_124534,c_6346]) ).
cnf(c_133185,plain,
addition(multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)),zero) = antidomain(sK1_goals_X1),
inference(superposition,[status(thm)],[c_124674,c_1735]) ).
cnf(c_133628,plain,
multiplication(antidomain(sK1_goals_X1),antidomain(sK2_goals_X0)) = antidomain(sK1_goals_X1),
inference(demodulation,[status(thm)],[c_133185,c_53]) ).
cnf(c_138470,plain,
addition(antidomain(sK2_goals_X0),antidomain(sK1_goals_X1)) = antidomain(sK2_goals_X0),
inference(superposition,[status(thm)],[c_133628,c_37778]) ).
cnf(c_138671,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_97,c_138470]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE090-10 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 12:41:01 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running UEQ theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_29_ueq --heuristic_context ueq --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 110.50/14.67 % SZS status Started for theBenchmark.p
% 110.50/14.67 % SZS status Unsatisfiable for theBenchmark.p
% 110.50/14.67
% 110.50/14.67 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 110.50/14.67
% 110.50/14.67 ------ iProver source info
% 110.50/14.67
% 110.50/14.67 git: date: 2023-05-31 18:12:56 +0000
% 110.50/14.67 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 110.50/14.67 git: non_committed_changes: false
% 110.50/14.67 git: last_make_outside_of_git: false
% 110.50/14.67
% 110.50/14.67 ------ Parsing...successful
% 110.50/14.67
% 110.50/14.67
% 110.50/14.67
% 110.50/14.67 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 110.50/14.67
% 110.50/14.67 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 110.50/14.67
% 110.50/14.67 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 110.50/14.67 ------ Proving...
% 110.50/14.67 ------ Problem Properties
% 110.50/14.67
% 110.50/14.67
% 110.50/14.67 clauses 25
% 110.50/14.67 conjectures 2
% 110.50/14.67 EPR 0
% 110.50/14.67 Horn 25
% 110.50/14.67 unary 25
% 110.50/14.67 binary 0
% 110.50/14.67 lits 25
% 110.50/14.67 lits eq 25
% 110.50/14.67 fd_pure 0
% 110.50/14.67 fd_pseudo 0
% 110.50/14.67 fd_cond 0
% 110.50/14.67 fd_pseudo_cond 0
% 110.50/14.67 AC symbols 1
% 110.50/14.67
% 110.50/14.67 ------ Input Options Time Limit: Unbounded
% 110.50/14.67
% 110.50/14.67
% 110.50/14.67 ------
% 110.50/14.67 Current options:
% 110.50/14.67 ------
% 110.50/14.67
% 110.50/14.67
% 110.50/14.67
% 110.50/14.67
% 110.50/14.67 ------ Proving...
% 110.50/14.67
% 110.50/14.67
% 110.50/14.67 % SZS status Unsatisfiable for theBenchmark.p
% 110.50/14.67
% 110.50/14.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 110.50/14.67
% 110.50/14.69
%------------------------------------------------------------------------------