%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MSC006-1 : 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 : n014.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 04:48:44 PM UTC 2026
% Result : Unsatisfiable 1.25s 1.72s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of clauses : 22 ( 10 unt; 5 nHn; 14 RR)
% Number of literals : 40 ( 0 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 32 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p_transitivity,hypothesis,
( p(X1,X3)
| ~ p(X1,X2)
| ~ p(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_transitivity) ).
cnf(all_related,hypothesis,
( p(X1,X2)
| q(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_related) ).
cnf(p_is_not_total,hypothesis,
~ p(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_is_not_total) ).
cnf(q_symmetry,hypothesis,
( q(X2,X1)
| ~ q(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_symmetry) ).
cnf(q_transitivity,hypothesis,
( q(X1,X3)
| ~ q(X1,X2)
| ~ q(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_transitivity) ).
cnf(prove_q_is_total,negated_conjecture,
~ q(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_q_is_total) ).
cnf(c_0_6,hypothesis,
( p(X1,X3)
| ~ p(X1,X2)
| ~ p(X2,X3) ),
p_transitivity ).
cnf(c_0_7,hypothesis,
( p(X1,X2)
| q(X1,X2) ),
all_related ).
cnf(c_0_8,hypothesis,
~ p(a,b),
p_is_not_total ).
cnf(c_0_9,hypothesis,
( q(X1,X2)
| p(X3,X2)
| ~ p(X3,X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,hypothesis,
( q(X2,X1)
| ~ q(X1,X2) ),
q_symmetry ).
cnf(c_0_11,hypothesis,
q(a,b),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_12,hypothesis,
( q(X1,X2)
| q(X2,X3)
| p(X1,X3) ),
inference(spm,[status(thm)],[c_0_9,c_0_7]) ).
cnf(c_0_13,hypothesis,
( q(X1,X3)
| ~ q(X1,X2)
| ~ q(X2,X3) ),
q_transitivity ).
cnf(c_0_14,hypothesis,
q(b,a),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,hypothesis,
( q(X1,b)
| q(a,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_12]) ).
cnf(c_0_16,hypothesis,
( q(X1,a)
| ~ q(X1,b) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,hypothesis,
q(X1,a),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_15]),c_0_16]) ).
cnf(c_0_18,hypothesis,
q(a,X1),
inference(spm,[status(thm)],[c_0_10,c_0_17]) ).
cnf(c_0_19,negated_conjecture,
~ q(c,d),
prove_q_is_total ).
cnf(c_0_20,hypothesis,
q(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_18]),c_0_17])]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MSC006-1 : 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
% 0.16/0.33 % Computer : n014.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 23:34:36 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.25/1.72 % Version : CSE_E---1.7
% 1.25/1.72 % Problem : theBenchmark.p
% 1.25/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.25/1.72 % SZS output start CNFRefutation
% See solution above
% 1.25/1.72 % Total time : 1.374s
%------------------------------------------------------------------------------