%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SET008-1 : 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 : n028.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 05:06:46 PM UTC 2026
% Result : Unsatisfiable 1.25s 1.71s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 7 unt; 6 nHn; 11 RR)
% Number of literals : 33 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 28 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_member_of_difference,axiom,
( ~ member(X1,X2)
| ~ member(X1,X3)
| ~ difference(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-3.ax',not_member_of_difference) ).
cnf(b_minus_a,hypothesis,
difference(b,a,bDa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_minus_a) ).
cnf(prove_aI_bDa_is_empty,negated_conjecture,
~ member(X1,aI_bDa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_aI_bDa_is_empty) ).
cnf(intersection_axiom2,axiom,
( member(h(X1,X2,X3),X3)
| intersection(X1,X2,X3)
| member(h(X1,X2,X3),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-2.ax',intersection_axiom2) ).
cnf(intersection_axiom1,axiom,
( member(h(X1,X2,X3),X3)
| intersection(X1,X2,X3)
| member(h(X1,X2,X3),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-2.ax',intersection_axiom1) ).
cnf(a_intersection_bDa,negated_conjecture,
~ intersection(a,bDa,aI_bDa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_intersection_bDa) ).
cnf(c_0_6,axiom,
( ~ member(X1,X2)
| ~ member(X1,X3)
| ~ difference(X4,X2,X3) ),
not_member_of_difference ).
cnf(c_0_7,hypothesis,
difference(b,a,bDa),
b_minus_a ).
cnf(c_0_8,negated_conjecture,
~ member(X1,aI_bDa),
prove_aI_bDa_is_empty ).
cnf(c_0_9,axiom,
( member(h(X1,X2,X3),X3)
| intersection(X1,X2,X3)
| member(h(X1,X2,X3),X2) ),
intersection_axiom2 ).
cnf(c_0_10,hypothesis,
( ~ member(X1,bDa)
| ~ member(X1,a) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,negated_conjecture,
( intersection(X1,X2,aI_bDa)
| member(h(X1,X2,aI_bDa),X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,axiom,
( member(h(X1,X2,X3),X3)
| intersection(X1,X2,X3)
| member(h(X1,X2,X3),X1) ),
intersection_axiom1 ).
cnf(c_0_13,hypothesis,
( intersection(X1,bDa,aI_bDa)
| ~ member(h(X1,bDa,aI_bDa),a) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
( intersection(X1,X2,aI_bDa)
| member(h(X1,X2,aI_bDa),X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
~ intersection(a,bDa,aI_bDa),
a_intersection_bDa ).
cnf(c_0_16,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET008-1 : 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
% 0.15/0.33 % Computer : n028.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 02:03:31 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.25/1.71 % Version : CSE_E---1.7
% 1.25/1.71 % Problem : theBenchmark.p
% 1.25/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 1.25/1.71 % SZS output start CNFRefutation
% See solution above
% 1.25/1.71 % Total time : 1.369s
%------------------------------------------------------------------------------