%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN627-1 : 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 : n021.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 05:39:47 PM UTC 2026
% Result : Unsatisfiable 1.61s 1.81s
% Output : CNFRefutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of clauses : 32 ( 15 unt; 0 nHn; 28 RR)
% Number of literals : 57 ( 0 equ; 27 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-5 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 41 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p3_18,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_18) ).
cnf(p3_5,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_5) ).
cnf(p3_9,negated_conjecture,
p3(c23,f4(f7(c17,c18),c21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_9) ).
cnf(p3_20,negated_conjecture,
( p3(c24,f4(f7(c17,X1),f14(X1)))
| ~ p15(X1,c19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_20) ).
cnf(p3_27,negated_conjecture,
( p3(f4(X1,X2),f4(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_27) ).
cnf(p3_28,negated_conjecture,
( p3(X1,X2)
| ~ p16(c17,c20,X3,X2,X4)
| ~ p16(c17,c20,X3,X1,c22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_28) ).
cnf(p16_10,negated_conjecture,
p16(c17,c20,f9(c19,c18),c21,c22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_10) ).
cnf(p2_6,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).
cnf(p16_23,negated_conjecture,
( p16(c17,c20,f9(c19,X1),f14(X1),c25)
| ~ p15(X1,c19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_23) ).
cnf(p15_7,negated_conjecture,
p15(c18,c19),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_7) ).
cnf(not_p3_8,negated_conjecture,
~ p3(c23,c24),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p3_8) ).
cnf(c_0_11,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
p3_18 ).
cnf(c_0_12,negated_conjecture,
p3(X1,X1),
p3_5 ).
cnf(c_0_13,negated_conjecture,
( p3(X1,X2)
| ~ p3(X2,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
p3(c23,f4(f7(c17,c18),c21)),
p3_9 ).
cnf(c_0_15,negated_conjecture,
p3(f4(f7(c17,c18),c21),c23),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,negated_conjecture,
( p3(c24,f4(f7(c17,X1),f14(X1)))
| ~ p15(X1,c19) ),
p3_20 ).
cnf(c_0_17,negated_conjecture,
( p3(X1,c23)
| ~ p3(f4(f7(c17,c18),c21),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
( p3(f4(X1,X2),f4(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
p3_27 ).
cnf(c_0_19,negated_conjecture,
( p3(X1,X2)
| ~ p16(c17,c20,X3,X2,X4)
| ~ p16(c17,c20,X3,X1,c22) ),
p3_28 ).
cnf(c_0_20,negated_conjecture,
p16(c17,c20,f9(c19,c18),c21,c22),
p16_10 ).
cnf(c_0_21,negated_conjecture,
( p3(f4(f7(c17,X1),f14(X1)),c24)
| ~ p15(X1,c19) ),
inference(spm,[status(thm)],[c_0_13,c_0_16]) ).
cnf(c_0_22,negated_conjecture,
( p3(f4(X1,X2),c23)
| ~ p2(f7(c17,c18),X1)
| ~ p3(c21,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
p2(X1,X1),
p2_6 ).
cnf(c_0_24,negated_conjecture,
( p3(c21,X1)
| ~ p16(c17,c20,f9(c19,c18),X1,X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
( p16(c17,c20,f9(c19,X1),f14(X1),c25)
| ~ p15(X1,c19) ),
p16_23 ).
cnf(c_0_26,negated_conjecture,
p15(c18,c19),
p15_7 ).
cnf(c_0_27,negated_conjecture,
( p3(X1,c24)
| ~ p15(X2,c19)
| ~ p3(f4(f7(c17,X2),f14(X2)),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_21]) ).
cnf(c_0_28,negated_conjecture,
( p3(f4(f7(c17,c18),X1),c23)
| ~ p3(c21,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
p3(c21,f14(c18)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_30,negated_conjecture,
~ p3(c23,c24),
not_p3_8 ).
cnf(c_0_31,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_26]),c_0_29])]),c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN627-1 : 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
% 0.14/0.33 % Computer : n021.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 08:42:10 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.61/1.81 % Version : CSE_E---1.7
% 1.61/1.81 % Problem : theBenchmark.p
% 1.61/1.81 % SZS status Unsatisfiable for theBenchmark.p
% 1.61/1.81 % SZS output start CNFRefutation
% See solution above
% 1.61/1.81 % Total time : 1.370s
%------------------------------------------------------------------------------