%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN652-1 : 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 : n024.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 05:39:50 PM UTC 2026
% Result : Unsatisfiable 1.25s 1.65s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 27 ( 17 unt; 0 nHn; 20 RR)
% Number of literals : 44 ( 0 equ; 19 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p4_46,negated_conjecture,
( p4(f5(c31,X1),f5(c31,X2))
| ~ p27(f8(f10(c28,f13(c29,c30)),X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_46) ).
cnf(p27_17,negated_conjecture,
p27(f8(f10(c28,f13(c29,c30)),c32),c33),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_17) ).
cnf(p4_23,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_23) ).
cnf(p4_5,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).
cnf(p4_34,negated_conjecture,
p4(f15(f17(c36,X1),f5(c35,X2)),f5(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_34) ).
cnf(p4_41,negated_conjecture,
( p4(f15(X1,X2),f15(X3,X4))
| ~ p14(X1,X3)
| ~ p4(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_41) ).
cnf(p4_16,negated_conjecture,
p4(c34,f5(c35,c32)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_16) ).
cnf(not_p4_18,negated_conjecture,
~ p4(f5(c31,c33),f15(f17(c36,c31),c34)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p4_18) ).
cnf(p14_14,negated_conjecture,
p14(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_14) ).
cnf(c_0_9,negated_conjecture,
( p4(f5(c31,X1),f5(c31,X2))
| ~ p27(f8(f10(c28,f13(c29,c30)),X1),X2) ),
p4_46 ).
cnf(c_0_10,negated_conjecture,
p27(f8(f10(c28,f13(c29,c30)),c32),c33),
p27_17 ).
cnf(c_0_11,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
p4_23 ).
cnf(c_0_12,negated_conjecture,
p4(X1,X1),
p4_5 ).
cnf(c_0_13,negated_conjecture,
p4(f5(c31,c32),f5(c31,c33)),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
( p4(X1,X2)
| ~ p4(X2,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
p4(f15(f17(c36,X1),f5(c35,X2)),f5(X1,X2)),
p4_34 ).
cnf(c_0_16,negated_conjecture,
( p4(f15(X1,X2),f15(X3,X4))
| ~ p14(X1,X3)
| ~ p4(X2,X4) ),
p4_41 ).
cnf(c_0_17,negated_conjecture,
( p4(X1,f5(c31,c33))
| ~ p4(f5(c31,c32),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
p4(f5(X1,X2),f15(f17(c36,X1),f5(c35,X2))),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
( p4(X1,f15(X2,X3))
| ~ p14(X4,X2)
| ~ p4(f15(X4,X5),X1)
| ~ p4(X5,X3) ),
inference(spm,[status(thm)],[c_0_11,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
p4(f15(f17(c36,c31),f5(c35,c32)),f5(c31,c33)),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
p4(c34,f5(c35,c32)),
p4_16 ).
cnf(c_0_22,negated_conjecture,
~ p4(f5(c31,c33),f15(f17(c36,c31),c34)),
not_p4_18 ).
cnf(c_0_23,negated_conjecture,
( p4(f5(c31,c33),f15(X1,X2))
| ~ p14(f17(c36,c31),X1)
| ~ p4(f5(c35,c32),X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
p14(X1,X1),
p14_14 ).
cnf(c_0_25,negated_conjecture,
p4(f5(c35,c32),c34),
inference(spm,[status(thm)],[c_0_14,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SYN652-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.06 % 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
% 0.07/0.25 % Computer : n024.cluster.edu
% 0.07/0.25 % Model : x86_64 x86_64
% 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25 % Memory : 8042.1875MB
% 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25 % CPULimit : 300
% 0.07/0.25 % WCLimit : 300
% 0.07/0.25 % DateTime : Tue May 5 03:42:26 EDT 2026
% 0.07/0.25 % CPUTime :
% 0.07/0.25 % start to proof: theBenchmark
% 1.25/1.65 % Version : CSE_E---1.7
% 1.25/1.65 % Problem : theBenchmark.p
% 1.25/1.65 % SZS status Unsatisfiable for theBenchmark.p
% 1.25/1.65 % SZS output start CNFRefutation
% See solution above
% 1.25/1.65 % Total time : 1.361s
%------------------------------------------------------------------------------