TSTP Solution File: LCL157-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LCL157-1 : TPTP v8.1.2. Released v1.0.0.
% 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 02:37:01 EDT 2024
% Result : Unsatisfiable 3.29s 1.15s
% Output : CNFRefutation 3.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 15
% Syntax : Number of clauses : 55 ( 55 unt; 0 nHn; 10 RR)
% Number of literals : 55 ( 54 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 69 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
and_star(x,falsehood) != falsehood,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_alternative_wajsberg_axiom) ).
cnf(c_52,plain,
not(or(not(X0),not(X1))) = and_star(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/LCL002-1.ax',and_star_definition) ).
cnf(c_53,plain,
and_star(and_star(X0,X1),X2) = and_star(X0,and_star(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/LCL002-1.ax',and_star_associativity) ).
cnf(c_54,plain,
and_star(X0,X1) = and_star(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/LCL002-1.ax',and_star_commutativity) ).
cnf(c_55,plain,
not(truth) = falsehood,
file('/export/starexec/sandbox/benchmark/Axioms/LCL002-1.ax',false_definition) ).
cnf(c_56,plain,
implies(not(X0),X1) = or(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-2.ax',or_definition) ).
cnf(c_57,plain,
or(or(X0,X1),X2) = or(X0,or(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-2.ax',or_associativity) ).
cnf(c_58,plain,
or(X0,X1) = or(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-2.ax',or_commutativity) ).
cnf(c_59,plain,
not(or(not(X0),not(X1))) = and(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-2.ax',and_definition) ).
cnf(c_60,plain,
and(and(X0,X1),X2) = and(X0,and(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-2.ax',and_associativity) ).
cnf(c_61,plain,
and(X0,X1) = and(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-2.ax',and_commutativity) ).
cnf(c_62,plain,
implies(truth,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_1) ).
cnf(c_63,plain,
implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_2) ).
cnf(c_64,plain,
implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_3) ).
cnf(c_65,plain,
implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_4) ).
cnf(c_81,negated_conjecture,
and_star(falsehood,x) != falsehood,
inference(theory_normalisation,[status(thm)],[c_49,c_57,c_58,c_60,c_61,c_53,c_54]) ).
cnf(c_116,plain,
and_star(X0,X1) = and(X0,X1),
inference(light_normalisation,[status(thm)],[c_52,c_59]) ).
cnf(c_118,plain,
and(falsehood,x) != falsehood,
inference(demodulation,[status(thm)],[c_81,c_116]) ).
cnf(c_120,plain,
implies(or(X0,not(X1)),implies(X1,X0)) = truth,
inference(demodulation,[status(thm)],[c_65,c_56]) ).
cnf(c_242,plain,
or(truth,X0) = implies(falsehood,X0),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_244,plain,
or(X0,truth) = implies(falsehood,X0),
inference(superposition,[status(thm)],[c_58,c_242]) ).
cnf(c_269,plain,
implies(or(X0,not(truth)),X0) = truth,
inference(superposition,[status(thm)],[c_62,c_120]) ).
cnf(c_272,plain,
implies(or(X0,falsehood),X0) = truth,
inference(light_normalisation,[status(thm)],[c_269,c_55]) ).
cnf(c_294,plain,
implies(or(falsehood,X0),X0) = truth,
inference(superposition,[status(thm)],[c_58,c_272]) ).
cnf(c_295,plain,
implies(implies(falsehood,falsehood),truth) = truth,
inference(superposition,[status(thm)],[c_242,c_272]) ).
cnf(c_514,plain,
implies(implies(X0,truth),truth) = implies(X0,X0),
inference(superposition,[status(thm)],[c_62,c_64]) ).
cnf(c_620,plain,
implies(implies(truth,X0),implies(implies(X0,X1),X1)) = truth,
inference(superposition,[status(thm)],[c_62,c_63]) ).
cnf(c_639,plain,
implies(X0,implies(implies(X0,X1),X1)) = truth,
inference(light_normalisation,[status(thm)],[c_620,c_62]) ).
cnf(c_764,plain,
implies(not(X0),not(X0)) = implies(or(X0,truth),truth),
inference(superposition,[status(thm)],[c_56,c_514]) ).
cnf(c_792,plain,
implies(not(X0),not(X0)) = implies(implies(falsehood,X0),truth),
inference(light_normalisation,[status(thm)],[c_764,c_244]) ).
cnf(c_796,plain,
implies(not(falsehood),not(falsehood)) = truth,
inference(demodulation,[status(thm)],[c_295,c_792]) ).
cnf(c_844,plain,
or(falsehood,not(falsehood)) = truth,
inference(demodulation,[status(thm)],[c_796,c_56]) ).
cnf(c_849,plain,
implies(truth,not(falsehood)) = truth,
inference(superposition,[status(thm)],[c_844,c_294]) ).
cnf(c_867,plain,
not(falsehood) = truth,
inference(demodulation,[status(thm)],[c_849,c_62]) ).
cnf(c_879,plain,
or(falsehood,X0) = implies(truth,X0),
inference(superposition,[status(thm)],[c_867,c_56]) ).
cnf(c_880,plain,
or(falsehood,X0) = X0,
inference(light_normalisation,[status(thm)],[c_879,c_62]) ).
cnf(c_890,plain,
implies(X0,X0) = truth,
inference(demodulation,[status(thm)],[c_294,c_880]) ).
cnf(c_897,plain,
implies(implies(X0,truth),truth) = truth,
inference(demodulation,[status(thm)],[c_514,c_890]) ).
cnf(c_925,plain,
or(X0,falsehood) = X0,
inference(superposition,[status(thm)],[c_880,c_58]) ).
cnf(c_1256,plain,
implies(X0,truth) = truth,
inference(superposition,[status(thm)],[c_897,c_639]) ).
cnf(c_1327,plain,
or(X0,truth) = truth,
inference(superposition,[status(thm)],[c_1256,c_56]) ).
cnf(c_1349,plain,
implies(falsehood,X0) = truth,
inference(demodulation,[status(thm)],[c_244,c_1327]) ).
cnf(c_1399,plain,
implies(implies(X0,falsehood),falsehood) = implies(truth,X0),
inference(superposition,[status(thm)],[c_1349,c_64]) ).
cnf(c_1405,plain,
implies(implies(X0,falsehood),falsehood) = X0,
inference(light_normalisation,[status(thm)],[c_1399,c_62]) ).
cnf(c_1424,plain,
implies(or(X0,falsehood),falsehood) = not(X0),
inference(superposition,[status(thm)],[c_56,c_1405]) ).
cnf(c_1444,plain,
implies(X0,falsehood) = not(X0),
inference(light_normalisation,[status(thm)],[c_1424,c_925]) ).
cnf(c_1488,plain,
not(not(X0)) = or(X0,falsehood),
inference(superposition,[status(thm)],[c_1444,c_56]) ).
cnf(c_1503,plain,
not(not(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1488,c_925]) ).
cnf(c_1539,plain,
or(not(X0),not(X1)) = not(and(X0,X1)),
inference(superposition,[status(thm)],[c_59,c_1503]) ).
cnf(c_1550,plain,
or(not(X0),X1) = implies(X0,X1),
inference(superposition,[status(thm)],[c_1503,c_56]) ).
cnf(c_2896,plain,
not(and(X0,X1)) = implies(X0,not(X1)),
inference(demodulation,[status(thm)],[c_1539,c_1550]) ).
cnf(c_2914,plain,
not(implies(X0,not(X1))) = and(X0,X1),
inference(superposition,[status(thm)],[c_2896,c_1503]) ).
cnf(c_3304,plain,
and(falsehood,X0) = not(truth),
inference(superposition,[status(thm)],[c_1349,c_2914]) ).
cnf(c_3332,plain,
and(falsehood,X0) = falsehood,
inference(light_normalisation,[status(thm)],[c_3304,c_55]) ).
cnf(c_3360,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_118,c_3332]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL157-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 2 19:16:01 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.21/0.47 Running UEQ theorem proving
% 0.21/0.47 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
% 3.29/1.15 % SZS status Started for theBenchmark.p
% 3.29/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.29/1.15
% 3.29/1.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.29/1.15
% 3.29/1.15 ------ iProver source info
% 3.29/1.15
% 3.29/1.15 git: date: 2024-05-02 19:28:25 +0000
% 3.29/1.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.29/1.15 git: non_committed_changes: false
% 3.29/1.15
% 3.29/1.15 ------ Parsing...successful
% 3.29/1.15
% 3.29/1.15
% 3.29/1.15
% 3.29/1.15 ------ Preprocessing... sup_sim: 6 sf_s rm: 0 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.29/1.15
% 3.29/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.29/1.15
% 3.29/1.15 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.29/1.15 ------ Proving...
% 3.29/1.15 ------ Problem Properties
% 3.29/1.15
% 3.29/1.15
% 3.29/1.15 clauses 15
% 3.29/1.15 conjectures 0
% 3.29/1.15 EPR 0
% 3.29/1.15 Horn 15
% 3.29/1.15 unary 15
% 3.29/1.15 binary 0
% 3.29/1.15 lits 15
% 3.29/1.15 lits eq 15
% 3.29/1.15 fd_pure 0
% 3.29/1.15 fd_pseudo 0
% 3.29/1.15 fd_cond 0
% 3.29/1.15 fd_pseudo_cond 0
% 3.29/1.15 AC symbols 2
% 3.29/1.15
% 3.29/1.15 ------ Input Options Time Limit: Unbounded
% 3.29/1.15
% 3.29/1.15
% 3.29/1.15 ------
% 3.29/1.15 Current options:
% 3.29/1.15 ------
% 3.29/1.15
% 3.29/1.15
% 3.29/1.15
% 3.29/1.15
% 3.29/1.15 ------ Proving...
% 3.29/1.15
% 3.29/1.15
% 3.29/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.29/1.15
% 3.29/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.29/1.15
% 3.29/1.15
%------------------------------------------------------------------------------