%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL143-1 : TPTP v9.2.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n025.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 : Tue May 5 04:39:31 PM UTC 2026
% Result : Unsatisfiable 1.26s 1.72s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 16 ( 12 unt; 0 nHn; 11 RR)
% Number of literals : 20 ( 11 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(partial_order_definition1,axiom,
( implies(X1,X2) = truth
| ~ ordered(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-1.ax',partial_order_definition1) ).
cnf(antecedent,negated_conjecture,
ordered(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antecedent) ).
cnf(prove_wajsberg_theorem,negated_conjecture,
~ ordered(implies(z,x),implies(z,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wajsberg_theorem) ).
cnf(partial_order_definition2,axiom,
( ordered(X1,X2)
| implies(X1,X2) != truth ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-1.ax',partial_order_definition2) ).
cnf(wajsberg_2,axiom,
implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth,
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_2) ).
cnf(wajsberg_1,axiom,
implies(truth,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_1) ).
cnf(c_0_6,axiom,
( implies(X1,X2) = truth
| ~ ordered(X1,X2) ),
partial_order_definition1 ).
cnf(c_0_7,negated_conjecture,
ordered(x,y),
antecedent ).
cnf(c_0_8,negated_conjecture,
~ ordered(implies(z,x),implies(z,y)),
prove_wajsberg_theorem ).
cnf(c_0_9,axiom,
( ordered(X1,X2)
| implies(X1,X2) != truth ),
partial_order_definition2 ).
cnf(c_0_10,axiom,
implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth,
wajsberg_2 ).
cnf(c_0_11,negated_conjecture,
implies(x,y) = truth,
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_12,axiom,
implies(truth,X1) = X1,
wajsberg_1 ).
cnf(c_0_13,negated_conjecture,
implies(implies(z,x),implies(z,y)) != truth,
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,negated_conjecture,
implies(implies(X1,x),implies(X1,y)) = truth,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL143-1 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.33 % Computer : n025.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon May 4 22:03:58 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.26/1.72 % Version : CSE_E---1.7
% 1.26/1.72 % Problem : theBenchmark.p
% 1.26/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.26/1.72 % SZS output start CNFRefutation
% See solution above
% 1.26/1.72 % Total time : 1.373s
%------------------------------------------------------------------------------