%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN569-1 : 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 : n013.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 05:39:39 PM UTC 2026
% Result : Unsatisfiable 1.50s 1.79s
% Output : CNFRefutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 36 ( 12 unt; 0 nHn; 34 RR)
% Number of literals : 84 ( 0 equ; 51 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 51 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_11,negated_conjecture,
( p2(X1,X2)
| ~ p9(X3,X1,X4)
| ~ p9(X3,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).
cnf(p9_6,negated_conjecture,
p9(c13,c15,c14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_6) ).
cnf(p2_10,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_10) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
cnf(p9_12,negated_conjecture,
( p9(c13,f3(X1),X1)
| ~ p10(X1,c12)
| ~ p10(c11,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_12) ).
cnf(p2_16,negated_conjecture,
( p2(f4(X1,X2),f4(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_16) ).
cnf(p2_15,negated_conjecture,
p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),c15)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_15) ).
cnf(p10_7,negated_conjecture,
( p10(X1,X2)
| ~ p8(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_7) ).
cnf(p8_3,negated_conjecture,
p8(c14,c12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_3) ).
cnf(p8_5,negated_conjecture,
p8(c11,c14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_5) ).
cnf(not_p8_20,negated_conjecture,
( ~ p8(X1,c12)
| ~ p8(c11,X1)
| ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p8_20) ).
cnf(c_0_11,negated_conjecture,
( p2(X1,X2)
| ~ p9(X3,X1,X4)
| ~ p9(X3,X2,X4) ),
p2_11 ).
cnf(c_0_12,negated_conjecture,
p9(c13,c15,c14),
p9_6 ).
cnf(c_0_13,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_10 ).
cnf(c_0_14,negated_conjecture,
p2(X1,X1),
p2_1 ).
cnf(c_0_15,negated_conjecture,
( p2(X1,c15)
| ~ p9(c13,X1,c14) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( p9(c13,f3(X1),X1)
| ~ p10(X1,c12)
| ~ p10(c11,X1) ),
p9_12 ).
cnf(c_0_17,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( p2(f3(c14),c15)
| ~ p10(c14,c12)
| ~ p10(c11,c14) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
( p2(c15,f3(c14))
| ~ p10(c14,c12)
| ~ p10(c11,c14) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,negated_conjecture,
( p2(X1,f3(c14))
| ~ p10(c14,c12)
| ~ p10(c11,c14)
| ~ p2(c15,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_19]) ).
cnf(c_0_21,negated_conjecture,
( p2(f4(X1,X2),f4(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
p2_16 ).
cnf(c_0_22,negated_conjecture,
p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),c15)),
p2_15 ).
cnf(c_0_23,negated_conjecture,
( p2(X1,f3(c14))
| ~ p10(c14,c12)
| ~ p10(c11,c14)
| ~ p2(c15,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
( p10(X1,X2)
| ~ p8(X1,X2) ),
p10_7 ).
cnf(c_0_25,negated_conjecture,
p8(c14,c12),
p8_3 ).
cnf(c_0_26,negated_conjecture,
( p2(X1,f4(X2,X3))
| ~ p2(f4(X4,X5),X1)
| ~ p2(X5,X3)
| ~ p2(X4,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_21]) ).
cnf(c_0_27,negated_conjecture,
p2(f4(f5(c12,c11),c15),f5(f7(c13,c12),f7(c13,c11))),
inference(spm,[status(thm)],[c_0_17,c_0_22]) ).
cnf(c_0_28,negated_conjecture,
( p2(X1,f3(c14))
| ~ p10(c11,c14)
| ~ p2(c15,X2)
| ~ p2(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
cnf(c_0_29,negated_conjecture,
p8(c11,c14),
p8_5 ).
cnf(c_0_30,negated_conjecture,
( ~ p8(X1,c12)
| ~ p8(c11,X1)
| ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(X1))) ),
not_p8_20 ).
cnf(c_0_31,negated_conjecture,
( p2(f5(f7(c13,c12),f7(c13,c11)),f4(X1,X2))
| ~ p2(f5(c12,c11),X1)
| ~ p2(c15,X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,negated_conjecture,
( p2(X1,f3(c14))
| ~ p2(c15,X2)
| ~ p2(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_24]),c_0_29])]) ).
cnf(c_0_33,negated_conjecture,
( ~ p8(X1,c12)
| ~ p8(c11,X1)
| ~ p2(c15,f3(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_14])]) ).
cnf(c_0_34,negated_conjecture,
( p2(X1,f3(c14))
| ~ p2(c15,X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_14]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_25]),c_0_29]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN569-1 : 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 : n013.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 08:38:56 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.50/1.79 % Version : CSE_E---1.7
% 1.50/1.79 % Problem : theBenchmark.p
% 1.50/1.79 % SZS status Unsatisfiable for theBenchmark.p
% 1.50/1.79 % SZS output start CNFRefutation
% See solution above
% 1.60/1.80 % Total time : 1.367s
%------------------------------------------------------------------------------