%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN621-1 : TPTP v9.2.1. Released v2.5.0.
% 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 : 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 05:39:46 PM UTC 2026
% Result : Unsatisfiable 1.26s 1.71s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 15 ( 6 unt; 5 nHn; 10 RR)
% Number of literals : 27 ( 0 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 6 con; 0-4 aty)
% Number of variables : 30 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p21_18,negated_conjecture,
( p21(X1,X2)
| ~ p21(X1,X3)
| ~ p21(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_18) ).
cnf(p2_34,negated_conjecture,
( p2(X1,f3(c24))
| p21(f5(f6(X2,f20(X3,X1,X4,X2))),f15(f19(f11(X3,f12(X1,X4)),X2),f16(f3(f17(f18(c24)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_34) ).
cnf(p21_31,negated_conjecture,
( p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,X1)))
| ~ p22(X1,f14(f11(c25,f12(c23,c26)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_31) ).
cnf(p2_28,negated_conjecture,
( p2(X1,f3(c24))
| p22(f20(X2,X1,X3,X4),f14(f11(X2,f12(X1,X3)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_28) ).
cnf(not_p2_7,negated_conjecture,
~ p2(c23,f3(c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_7) ).
cnf(not_p21_32,negated_conjecture,
~ p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p21_32) ).
cnf(c_0_6,negated_conjecture,
( p21(X1,X2)
| ~ p21(X1,X3)
| ~ p21(X3,X2) ),
p21_18 ).
cnf(c_0_7,negated_conjecture,
( p2(X1,f3(c24))
| p21(f5(f6(X2,f20(X3,X1,X4,X2))),f15(f19(f11(X3,f12(X1,X4)),X2),f16(f3(f17(f18(c24)))))) ),
p2_34 ).
cnf(c_0_8,negated_conjecture,
( p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,X1)))
| ~ p22(X1,f14(f11(c25,f12(c23,c26)))) ),
p21_31 ).
cnf(c_0_9,negated_conjecture,
( p2(X1,f3(c24))
| p22(f20(X2,X1,X3,X4),f14(f11(X2,f12(X1,X3)))) ),
p2_28 ).
cnf(c_0_10,negated_conjecture,
~ p2(c23,f3(c24)),
not_p2_7 ).
cnf(c_0_11,negated_conjecture,
( p21(X1,f15(f19(f11(X2,f12(X3,X4)),X5),f16(f3(f17(f18(c24))))))
| p2(X3,f3(c24))
| ~ p21(X1,f5(f6(X5,f20(X2,X3,X4,X5)))) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_12,negated_conjecture,
p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,f20(c25,c23,c26,X1)))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).
cnf(c_0_13,negated_conjecture,
~ p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))),
not_p21_32 ).
cnf(c_0_14,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN621-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12 % 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
% 0.15/0.33 % 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 08:41:51 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.26/1.71 % Version : CSE_E---1.7
% 1.26/1.71 % Problem : theBenchmark.p
% 1.26/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 1.26/1.71 % SZS output start CNFRefutation
% See solution above
% 1.26/1.71 % Total time : 1.370s
%------------------------------------------------------------------------------