%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN672-1 : TPTP v9.2.1. Released v2.5.0.
% 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 : n008.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 05:39:52 PM UTC 2026
% Result : Unsatisfiable 1.38s 1.75s
% Output : CNFRefutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 26 ( 14 unt; 2 nHn; 20 RR)
% Number of literals : 54 ( 0 equ; 30 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p30_39,negated_conjecture,
( p30(X1,X2)
| ~ p30(X3,X4)
| ~ p9(X3,X1)
| ~ p3(X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30_39) ).
cnf(p30_54,negated_conjecture,
( p30(f10(f12(c32,c33),f4(f7(c34,c35),X1)),f4(f7(c34,c35),X2))
| ~ p30(f10(f12(c32,c33),X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30_54) ).
cnf(p9_42,negated_conjecture,
( p9(f10(X1,X2),f10(X3,X4))
| ~ p3(X2,X4)
| ~ p8(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_42) ).
cnf(p3_53,negated_conjecture,
( p3(X1,f14(c38,X2))
| p30(f10(f12(c32,c33),f14(c38,X2)),X1)
| ~ p31(f20(c36,X2),f17(c37,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_53) ).
cnf(p31_19,negated_conjecture,
p31(f20(c36,c39),f17(c37,c40)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p31_19) ).
cnf(not_p3_18,negated_conjecture,
~ p3(c40,f14(c38,c39)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p3_18) ).
cnf(p3_37,negated_conjecture,
p3(f4(f7(c34,X1),f14(c38,X2)),f14(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_37) ).
cnf(not_p30_40,negated_conjecture,
~ p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p30_40) ).
cnf(p3_6,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_6) ).
cnf(p8_3,negated_conjecture,
p8(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_3) ).
cnf(c_0_10,negated_conjecture,
( p30(X1,X2)
| ~ p30(X3,X4)
| ~ p9(X3,X1)
| ~ p3(X4,X2) ),
p30_39 ).
cnf(c_0_11,negated_conjecture,
( p30(f10(f12(c32,c33),f4(f7(c34,c35),X1)),f4(f7(c34,c35),X2))
| ~ p30(f10(f12(c32,c33),X1),X2) ),
p30_54 ).
cnf(c_0_12,negated_conjecture,
( p30(X1,X2)
| ~ p30(f10(f12(c32,c33),X3),X4)
| ~ p3(f4(f7(c34,c35),X4),X2)
| ~ p9(f10(f12(c32,c33),f4(f7(c34,c35),X3)),X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,negated_conjecture,
( p9(f10(X1,X2),f10(X3,X4))
| ~ p3(X2,X4)
| ~ p8(X1,X3) ),
p9_42 ).
cnf(c_0_14,negated_conjecture,
( p3(X1,f14(c38,X2))
| p30(f10(f12(c32,c33),f14(c38,X2)),X1)
| ~ p31(f20(c36,X2),f17(c37,X1)) ),
p3_53 ).
cnf(c_0_15,negated_conjecture,
p31(f20(c36,c39),f17(c37,c40)),
p31_19 ).
cnf(c_0_16,negated_conjecture,
~ p3(c40,f14(c38,c39)),
not_p3_18 ).
cnf(c_0_17,negated_conjecture,
( p30(f10(X1,X2),X3)
| ~ p30(f10(f12(c32,c33),X4),X5)
| ~ p3(f4(f7(c34,c35),X5),X3)
| ~ p3(f4(f7(c34,c35),X4),X2)
| ~ p8(f12(c32,c33),X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
p30(f10(f12(c32,c33),f14(c38,c39)),c40),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_19,negated_conjecture,
( p30(f10(X1,X2),X3)
| ~ p3(f4(f7(c34,c35),f14(c38,c39)),X2)
| ~ p3(f4(f7(c34,c35),c40),X3)
| ~ p8(f12(c32,c33),X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,negated_conjecture,
p3(f4(f7(c34,X1),f14(c38,X2)),f14(X1,X2)),
p3_37 ).
cnf(c_0_21,negated_conjecture,
~ p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40)),
not_p30_40 ).
cnf(c_0_22,negated_conjecture,
( p30(f10(X1,f14(c35,c39)),X2)
| ~ p3(f4(f7(c34,c35),c40),X2)
| ~ p8(f12(c32,c33),X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
p3(X1,X1),
p3_6 ).
cnf(c_0_24,negated_conjecture,
p8(X1,X1),
p8_3 ).
cnf(c_0_25,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN672-1 : TPTP v9.2.1. Released v2.5.0.
% 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 : n008.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 08:43:58 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 1.38/1.75 % Version : CSE_E---1.7
% 1.38/1.75 % Problem : theBenchmark.p
% 1.38/1.75 % SZS status Unsatisfiable for theBenchmark.p
% 1.38/1.75 % SZS output start CNFRefutation
% See solution above
% 1.38/1.75 % Total time : 1.373s
%------------------------------------------------------------------------------