TSTP Solution File: LCL109-5 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL109-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 07:42:32 EDT 2023
% Result : Unsatisfiable 2.83s 1.20s
% Output : CNFRefutation 2.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of clauses : 27 ( 19 unt; 0 nHn; 7 RR)
% Number of literals : 35 ( 15 equ; 9 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 41 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ ordered(X0,X1)
| ordered(implies(X0,X2),implies(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1) ).
cnf(c_52,plain,
( ~ ordered(X0,implies(X1,X2))
| ordered(X1,implies(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_3_2) ).
cnf(c_57,negated_conjecture,
big_V(implies(x,y),implies(y,x)) != truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_mv_4) ).
cnf(c_58,plain,
implies(implies(X0,X1),X1) = big_V(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-1.ax',big_V_definition) ).
cnf(c_60,plain,
( ~ ordered(X0,X1)
| implies(X0,X1) = truth ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-1.ax',partial_order_definition1) ).
cnf(c_61,plain,
( implies(X0,X1) != truth
| ordered(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-1.ax',partial_order_definition2) ).
cnf(c_62,plain,
implies(truth,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax',wajsberg_1) ).
cnf(c_64,plain,
implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax',wajsberg_3) ).
cnf(c_176,plain,
implies(implies(X0,X1),X1) = big_V(X1,X0),
inference(light_normalisation,[status(thm)],[c_64,c_58]) ).
cnf(c_177,plain,
big_V(X0,X1) = big_V(X1,X0),
inference(light_normalisation,[status(thm)],[c_176,c_58]) ).
cnf(c_574,plain,
implies(X0,X0) = big_V(truth,X0),
inference(superposition,[status(thm)],[c_62,c_58]) ).
cnf(c_581,plain,
implies(X0,X0) = big_V(X0,truth),
inference(superposition,[status(thm)],[c_574,c_177]) ).
cnf(c_598,plain,
( X0 != truth
| ordered(truth,X0) ),
inference(superposition,[status(thm)],[c_62,c_61]) ).
cnf(c_625,plain,
( ~ ordered(truth,X0)
| ordered(X1,implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_62,c_49]) ).
cnf(c_629,plain,
( ~ ordered(X0,truth)
| ordered(implies(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_62,c_49]) ).
cnf(c_731,plain,
ordered(truth,truth),
inference(equality_resolution,[status(thm)],[c_598]) ).
cnf(c_750,plain,
( ~ ordered(truth,truth)
| ordered(X0,X0) ),
inference(superposition,[status(thm)],[c_62,c_625]) ).
cnf(c_755,plain,
ordered(X0,X0),
inference(forward_subsumption_resolution,[status(thm)],[c_750,c_731]) ).
cnf(c_771,plain,
implies(X0,X0) = truth,
inference(superposition,[status(thm)],[c_755,c_60]) ).
cnf(c_772,plain,
ordered(X0,implies(implies(X0,X1),X1)),
inference(superposition,[status(thm)],[c_755,c_52]) ).
cnf(c_773,plain,
ordered(X0,big_V(X0,X1)),
inference(light_normalisation,[status(thm)],[c_772,c_58]) ).
cnf(c_774,plain,
big_V(X0,truth) = truth,
inference(demodulation,[status(thm)],[c_581,c_771]) ).
cnf(c_834,plain,
ordered(X0,truth),
inference(superposition,[status(thm)],[c_774,c_773]) ).
cnf(c_1841,plain,
ordered(implies(X0,X1),X1),
inference(global_subsumption_just,[status(thm)],[c_629,c_629,c_834]) ).
cnf(c_1853,plain,
implies(implies(X0,X1),X1) = truth,
inference(superposition,[status(thm)],[c_1841,c_60]) ).
cnf(c_1855,plain,
big_V(X0,X1) = truth,
inference(demodulation,[status(thm)],[c_58,c_1853]) ).
cnf(c_1856,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_57,c_1855]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL109-5 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n007.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 : Thu Aug 24 16:40:40 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.83/1.20 % SZS status Started for theBenchmark.p
% 2.83/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 2.83/1.20
% 2.83/1.20 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.83/1.20
% 2.83/1.20 ------ iProver source info
% 2.83/1.20
% 2.83/1.20 git: date: 2023-05-31 18:12:56 +0000
% 2.83/1.20 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.83/1.20 git: non_committed_changes: false
% 2.83/1.20 git: last_make_outside_of_git: false
% 2.83/1.20
% 2.83/1.20 ------ Parsing...successful
% 2.83/1.20
% 2.83/1.20
% 2.83/1.20
% 2.83/1.20 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 2.83/1.20
% 2.83/1.20 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.83/1.20
% 2.83/1.20 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.83/1.20 ------ Proving...
% 2.83/1.20 ------ Problem Properties
% 2.83/1.20
% 2.83/1.20
% 2.83/1.20 clauses 16
% 2.83/1.20 conjectures 1
% 2.83/1.20 EPR 0
% 2.83/1.20 Horn 16
% 2.83/1.20 unary 11
% 2.83/1.20 binary 5
% 2.83/1.20 lits 21
% 2.83/1.20 lits eq 13
% 2.83/1.20 fd_pure 0
% 2.83/1.20 fd_pseudo 0
% 2.83/1.20 fd_cond 0
% 2.83/1.20 fd_pseudo_cond 0
% 2.83/1.20 AC symbols 0
% 2.83/1.20
% 2.83/1.20 ------ Schedule dynamic 5 is on
% 2.83/1.20
% 2.83/1.20 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.83/1.20
% 2.83/1.20
% 2.83/1.20 ------
% 2.83/1.20 Current options:
% 2.83/1.20 ------
% 2.83/1.20
% 2.83/1.20
% 2.83/1.20
% 2.83/1.20
% 2.83/1.20 ------ Proving...
% 2.83/1.20
% 2.83/1.20
% 2.83/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 2.83/1.20
% 2.83/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.83/1.20
% 2.83/1.20
%------------------------------------------------------------------------------