%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SET014-2 : TPTP v9.2.1. Bugfixed v2.1.0.
% 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 : 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 05:06:49 PM UTC 2026
% Result : Unsatisfiable 116.92s 60.90s
% Output : CNFRefutation 117.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 7 unt; 7 nHn; 15 RR)
% Number of literals : 39 ( 0 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(membership_in_subsets,axiom,
( member(X1,X3)
| ~ member(X1,X2)
| ~ subset(X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',membership_in_subsets) ).
cnf(b_subset_of_c,hypothesis,
subset(bs,cs),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_subset_of_c) ).
cnf(member_of_union_is_member_of_one_set,axiom,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',member_of_union_is_member_of_one_set) ).
cnf(subsets_axiom1,axiom,
( subset(X1,X2)
| member(member_of_1_not_of_2(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',subsets_axiom1) ).
cnf(a_subset_of_c,hypothesis,
subset(as,cs),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_subset_of_c) ).
cnf(subsets_axiom2,axiom,
( subset(X1,X2)
| ~ member(member_of_1_not_of_2(X1,X2),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET002-0.ax',subsets_axiom2) ).
cnf(prove_a_union_b_subset_of_c,negated_conjecture,
~ subset(union(as,bs),cs),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_union_b_subset_of_c) ).
cnf(c_0_7,axiom,
( member(X1,X3)
| ~ member(X1,X2)
| ~ subset(X2,X3) ),
membership_in_subsets ).
cnf(c_0_8,hypothesis,
subset(bs,cs),
b_subset_of_c ).
cnf(c_0_9,axiom,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X2,X3)) ),
member_of_union_is_member_of_one_set ).
cnf(c_0_10,axiom,
( subset(X1,X2)
| member(member_of_1_not_of_2(X1,X2),X1) ),
subsets_axiom1 ).
cnf(c_0_11,hypothesis,
subset(as,cs),
a_subset_of_c ).
cnf(c_0_12,hypothesis,
( member(X1,cs)
| ~ member(X1,bs) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_13,plain,
( subset(union(X1,X2),X3)
| member(member_of_1_not_of_2(union(X1,X2),X3),X1)
| member(member_of_1_not_of_2(union(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,hypothesis,
( member(X1,cs)
| ~ member(X1,as) ),
inference(spm,[status(thm)],[c_0_7,c_0_11]) ).
cnf(c_0_15,hypothesis,
( subset(union(X1,bs),X2)
| member(member_of_1_not_of_2(union(X1,bs),X2),cs)
| member(member_of_1_not_of_2(union(X1,bs),X2),X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,axiom,
( subset(X1,X2)
| ~ member(member_of_1_not_of_2(X1,X2),X2) ),
subsets_axiom2 ).
cnf(c_0_17,hypothesis,
( subset(union(as,bs),X1)
| member(member_of_1_not_of_2(union(as,bs),X1),cs) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
~ subset(union(as,bs),cs),
prove_a_union_b_subset_of_c ).
cnf(c_0_19,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET014-2 : TPTP v9.2.1. Bugfixed v2.1.0.
% 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 : n003.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 02:03:56 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 116.92/60.90 % Version : CSE_E---1.7
% 116.92/60.90 % Problem : theBenchmark.p
% 116.92/60.90 % SZS status Unsatisfiable for theBenchmark.p
% 116.92/60.90 % SZS output start CNFRefutation
% See solution above
% 117.32/61.30 % Total time : 45.731s
%------------------------------------------------------------------------------