%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SET019-3 : TPTP v9.2.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n003.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 05:06:53 PM UTC 2026
% Result : Unsatisfiable 4.00s 3.20s
% Output : CNFRefutation 4.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 9 unt; 3 nHn; 15 RR)
% Number of literals : 34 ( 7 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subset1,axiom,
( member(X3,X2)
| ~ subset(X1,X2)
| ~ member(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',subset1) ).
cnf(b_contains_a,hypothesis,
subset(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_contains_a) ).
cnf(extensionality2,axiom,
( member(f1(X1,X2),X1)
| member(f1(X1,X2),X2)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',extensionality2) ).
cnf(prove__a_equals_b,negated_conjecture,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove__a_equals_b) ).
cnf(extensionality3,axiom,
( X1 = X2
| ~ member(f1(X1,X2),X1)
| ~ member(f1(X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',extensionality3) ).
cnf(a_contains_b,hypothesis,
subset(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_contains_b) ).
cnf(c_0_6,axiom,
( member(X3,X2)
| ~ subset(X1,X2)
| ~ member(X3,X1) ),
subset1 ).
cnf(c_0_7,hypothesis,
subset(a,b),
b_contains_a ).
cnf(c_0_8,hypothesis,
( member(X1,b)
| ~ member(X1,a) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,axiom,
( member(f1(X1,X2),X1)
| member(f1(X1,X2),X2)
| X1 = X2 ),
extensionality2 ).
cnf(c_0_10,hypothesis,
( a = X1
| member(f1(a,X1),b)
| member(f1(a,X1),X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,negated_conjecture,
a != b,
prove__a_equals_b ).
cnf(c_0_12,axiom,
( X1 = X2
| ~ member(f1(X1,X2),X1)
| ~ member(f1(X1,X2),X2) ),
extensionality3 ).
cnf(c_0_13,hypothesis,
member(f1(a,b),b),
inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_10]),c_0_11]) ).
cnf(c_0_14,hypothesis,
subset(b,a),
a_contains_b ).
cnf(c_0_15,hypothesis,
~ member(f1(a,b),a),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_11]) ).
cnf(c_0_16,hypothesis,
( member(X1,a)
| ~ member(X1,b) ),
inference(spm,[status(thm)],[c_0_6,c_0_14]) ).
cnf(c_0_17,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET019-3 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.31 % Computer : n003.cluster.edu
% 0.15/0.31 % Model : x86_64 x86_64
% 0.15/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.31 % Memory : 8042.1875MB
% 0.15/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.31 % CPULimit : 300
% 0.15/0.31 % WCLimit : 300
% 0.15/0.31 % DateTime : Tue May 5 02:04:11 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 4.00/3.20 % Version : CSE_E---1.7
% 4.00/3.20 % Problem : theBenchmark.p
% 4.00/3.20 % SZS status Unsatisfiable for theBenchmark.p
% 4.00/3.20 % SZS output start CNFRefutation
% See solution above
% 4.00/3.21 % Total time : 2.373s
%------------------------------------------------------------------------------