%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN623-1 : 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 : n027.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 1.27s 1.72s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of clauses : 46 ( 22 unt; 7 nHn; 40 RR)
% Number of literals : 96 ( 0 equ; 45 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 : 17 ( 17 usr; 11 con; 0-2 aty)
% Number of variables : 63 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p16_35,negated_conjecture,
( p16(f4(X1,X2),X3)
| p16(f4(f6(c27,X4),f13(f15(c28,X1),X4)),f9(f11(c29,X1),X4))
| ~ p2(X1,X4)
| ~ p18(c26,X4)
| ~ p16(f4(c19,X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_35) ).
cnf(p16_15,negated_conjecture,
p16(f4(c19,c20),c21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_15) ).
cnf(p18_10,negated_conjecture,
p18(c26,c25),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_10) ).
cnf(p3_20,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_20) ).
cnf(p3_5,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_5) ).
cnf(p2_12,negated_conjecture,
p2(c24,c25),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
cnf(p3_11,negated_conjecture,
p3(c22,c23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_11) ).
cnf(p16_25,negated_conjecture,
( p16(f4(c25,X1),X2)
| ~ p16(f4(f6(c27,c25),X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_25) ).
cnf(p3_14,negated_conjecture,
p3(c23,f4(c24,c20)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_14) ).
cnf(p16_34,negated_conjecture,
( p16(f4(X1,X2),X3)
| ~ p2(X1,X4)
| ~ p18(c26,X4)
| ~ p16(f4(c19,X2),X3)
| ~ p16(f4(X4,f13(f15(c28,X1),X4)),f9(f11(c29,X1),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_34) ).
cnf(p16_26,negated_conjecture,
( p16(X1,X2)
| ~ p3(X3,X1)
| ~ p8(X4,X2)
| ~ p16(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_26) ).
cnf(p3_32,negated_conjecture,
( p3(f4(X1,X2),f4(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_32) ).
cnf(p2_6,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).
cnf(p8_2,negated_conjecture,
p8(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_2) ).
cnf(not_p16_13,negated_conjecture,
~ p16(c22,c21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p16_13) ).
cnf(c_0_15,negated_conjecture,
( p16(f4(X1,X2),X3)
| p16(f4(f6(c27,X4),f13(f15(c28,X1),X4)),f9(f11(c29,X1),X4))
| ~ p2(X1,X4)
| ~ p18(c26,X4)
| ~ p16(f4(c19,X2),X3) ),
p16_35 ).
cnf(c_0_16,negated_conjecture,
p16(f4(c19,c20),c21),
p16_15 ).
cnf(c_0_17,negated_conjecture,
( p16(f4(f6(c27,X1),f13(f15(c28,X2),X1)),f9(f11(c29,X2),X1))
| p16(f4(X2,c20),c21)
| ~ p18(c26,X1)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,negated_conjecture,
p18(c26,c25),
p18_10 ).
cnf(c_0_19,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
p3_20 ).
cnf(c_0_20,negated_conjecture,
p3(X1,X1),
p3_5 ).
cnf(c_0_21,negated_conjecture,
( p16(f4(f6(c27,c25),f13(f15(c28,X1),c25)),f9(f11(c29,X1),c25))
| p16(f4(X1,c20),c21)
| ~ p2(X1,c25) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
p2(c24,c25),
p2_12 ).
cnf(c_0_23,negated_conjecture,
( p3(X1,X2)
| ~ p3(X2,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
p3(c22,c23),
p3_11 ).
cnf(c_0_25,negated_conjecture,
( p16(f4(c25,X1),X2)
| ~ p16(f4(f6(c27,c25),X1),X2) ),
p16_25 ).
cnf(c_0_26,negated_conjecture,
( p16(f4(f6(c27,c25),f13(f15(c28,c24),c25)),f9(f11(c29,c24),c25))
| p16(f4(c24,c20),c21) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,negated_conjecture,
p3(c23,c22),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,negated_conjecture,
p3(c23,f4(c24,c20)),
p3_14 ).
cnf(c_0_29,negated_conjecture,
( p16(f4(X1,X2),X3)
| ~ p2(X1,X4)
| ~ p18(c26,X4)
| ~ p16(f4(c19,X2),X3)
| ~ p16(f4(X4,f13(f15(c28,X1),X4)),f9(f11(c29,X1),X4)) ),
p16_34 ).
cnf(c_0_30,negated_conjecture,
( p16(f4(c25,f13(f15(c28,c24),c25)),f9(f11(c29,c24),c25))
| p16(f4(c24,c20),c21) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,negated_conjecture,
( p3(X1,c22)
| ~ p3(c23,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_27]) ).
cnf(c_0_32,negated_conjecture,
( p3(X1,f4(c24,c20))
| ~ p3(c23,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_28]) ).
cnf(c_0_33,negated_conjecture,
( p16(f4(c24,c20),c21)
| p16(f4(c24,X1),X2)
| ~ p16(f4(c19,X1),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_18]),c_0_22])]) ).
cnf(c_0_34,negated_conjecture,
p3(f4(c24,c20),c22),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_20])]) ).
cnf(c_0_35,negated_conjecture,
( p16(X1,X2)
| ~ p3(X3,X1)
| ~ p8(X4,X2)
| ~ p16(X3,X4) ),
p16_26 ).
cnf(c_0_36,negated_conjecture,
p16(f4(c24,c20),c21),
inference(spm,[status(thm)],[c_0_33,c_0_16]) ).
cnf(c_0_37,negated_conjecture,
( p3(X1,c22)
| ~ p3(f4(c24,c20),X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_34]) ).
cnf(c_0_38,negated_conjecture,
( p3(f4(X1,X2),f4(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
p3_32 ).
cnf(c_0_39,negated_conjecture,
( p16(X1,X2)
| ~ p3(f4(c24,c20),X1)
| ~ p8(c21,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,negated_conjecture,
( p3(f4(X1,X2),c22)
| ~ p2(c24,X1)
| ~ p3(c20,X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_41,negated_conjecture,
p2(X1,X1),
p2_6 ).
cnf(c_0_42,negated_conjecture,
( p16(c22,X1)
| ~ p8(c21,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_20])]) ).
cnf(c_0_43,negated_conjecture,
p8(X1,X1),
p8_2 ).
cnf(c_0_44,negated_conjecture,
~ p16(c22,c21),
not_p16_13 ).
cnf(c_0_45,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN623-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.11 % 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 : n027.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 08:41:35 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.27/1.72 % Version : CSE_E---1.7
% 1.27/1.72 % Problem : theBenchmark.p
% 1.27/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.27/1.72 % SZS output start CNFRefutation
% See solution above
% 1.27/1.72 % Total time : 1.368s
%------------------------------------------------------------------------------