%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SET787-2 : TPTP v9.2.1. Released v2.7.0.
% 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 : 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 : Tue May 5 05:08:29 PM UTC 2026
% Result : Unsatisfiable 1.99s 1.91s
% Output : CNFRefutation 1.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 10 unt; 5 nHn; 19 RR)
% Number of literals : 39 ( 7 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 31 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause112,axiom,
( X1 = X2
| member(X1,X3)
| ~ member(X1,cons(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
cnf(clause120,axiom,
( member(unionE_sk1(X1,X2),X2)
| ~ member(X1,union(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
cnf(un_eq_Union_2_c1,negated_conjecture,
member(sk2,union(cons(a,cons(b,eptset)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',un_eq_Union_2_c1) ).
cnf(clause158,axiom,
~ member(X1,eptset),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
cnf(un_eq_Union_2_c2,negated_conjecture,
~ member(sk2,un(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',un_eq_Union_2_c2) ).
cnf(clause19,axiom,
( member(X1,un(X3,X2))
| ~ member(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).
cnf(clause119,axiom,
( member(X1,unionE_sk1(X1,X2))
| ~ member(X1,union(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
cnf(clause20,axiom,
( member(X1,un(X2,X3))
| ~ member(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
cnf(c_0_8,axiom,
( X1 = X2
| member(X1,X3)
| ~ member(X1,cons(X2,X3)) ),
clause112 ).
cnf(c_0_9,axiom,
( member(unionE_sk1(X1,X2),X2)
| ~ member(X1,union(X2)) ),
clause120 ).
cnf(c_0_10,plain,
( unionE_sk1(X1,cons(X2,X3)) = X2
| member(unionE_sk1(X1,cons(X2,X3)),X3)
| ~ member(X1,union(cons(X2,X3))) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,negated_conjecture,
member(sk2,union(cons(a,cons(b,eptset)))),
un_eq_Union_2_c1 ).
cnf(c_0_12,negated_conjecture,
( unionE_sk1(sk2,cons(a,cons(b,eptset))) = a
| member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,axiom,
~ member(X1,eptset),
clause158 ).
cnf(c_0_14,negated_conjecture,
~ member(sk2,un(a,b)),
un_eq_Union_2_c2 ).
cnf(c_0_15,axiom,
( member(X1,un(X3,X2))
| ~ member(X1,X2) ),
clause19 ).
cnf(c_0_16,axiom,
( member(X1,unionE_sk1(X1,X2))
| ~ member(X1,union(X2)) ),
clause119 ).
cnf(c_0_17,negated_conjecture,
( unionE_sk1(sk2,cons(a,cons(b,eptset))) = a
| unionE_sk1(sk2,cons(a,cons(b,eptset))) = b ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_12]),c_0_13]) ).
cnf(c_0_18,negated_conjecture,
~ member(sk2,b),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,axiom,
( member(X1,un(X2,X3))
| ~ member(X1,X2) ),
clause20 ).
cnf(c_0_20,negated_conjecture,
unionE_sk1(sk2,cons(a,cons(b,eptset))) = a,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_11])]),c_0_18]) ).
cnf(c_0_21,negated_conjecture,
~ member(sk2,a),
inference(spm,[status(thm)],[c_0_14,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_20]),c_0_11])]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET787-2 : TPTP v9.2.1. Released v2.7.0.
% 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
% 0.15/0.33 % Computer : n016.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 02:36:06 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.99/1.91 % Version : CSE_E---1.7
% 1.99/1.91 % Problem : theBenchmark.p
% 1.99/1.91 % SZS status Unsatisfiable for theBenchmark.p
% 1.99/1.91 % SZS output start CNFRefutation
% See solution above
% 1.99/1.91 % Total time : 1.372s
%------------------------------------------------------------------------------