%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN566-1 : 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 : 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 1.26s 1.72s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of clauses : 40 ( 16 unt; 0 nHn; 34 RR)
% Number of literals : 80 ( 0 equ; 47 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 57 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p3_14,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_14) ).
cnf(p3_3,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_3) ).
cnf(not_p10_19,negated_conjecture,
( ~ p10(X1,c11)
| ~ p8(c12,X2)
| ~ p3(X2,f4(X3))
| ~ p2(X3,f5(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p10_19) ).
cnf(p8_18,negated_conjecture,
( p8(X1,X2)
| ~ p7(X3,X1)
| ~ p8(X3,X4)
| ~ p3(X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_18) ).
cnf(p8_6,negated_conjecture,
p8(c12,c13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_6) ).
cnf(p3_8,negated_conjecture,
p3(c13,f4(c14)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_8) ).
cnf(p8_16,negated_conjecture,
( p8(X1,f4(f5(X2)))
| ~ p8(X1,f4(f6(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_16) ).
cnf(p7_4,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_4) ).
cnf(p3_9,negated_conjecture,
( p3(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_9) ).
cnf(p2_2,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_2) ).
cnf(p2_13,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_13) ).
cnf(p2_7,negated_conjecture,
p2(c14,f6(c15)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).
cnf(p10_5,negated_conjecture,
p10(c15,c11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_5) ).
cnf(c_0_13,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
p3_14 ).
cnf(c_0_14,negated_conjecture,
p3(X1,X1),
p3_3 ).
cnf(c_0_15,negated_conjecture,
( ~ p10(X1,c11)
| ~ p8(c12,X2)
| ~ p3(X2,f4(X3))
| ~ p2(X3,f5(X1)) ),
not_p10_19 ).
cnf(c_0_16,negated_conjecture,
( p8(X1,X2)
| ~ p7(X3,X1)
| ~ p8(X3,X4)
| ~ p3(X4,X2) ),
p8_18 ).
cnf(c_0_17,negated_conjecture,
p8(c12,c13),
p8_6 ).
cnf(c_0_18,negated_conjecture,
( p3(X1,X2)
| ~ p3(X2,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
p3(c13,f4(c14)),
p3_8 ).
cnf(c_0_20,negated_conjecture,
( ~ p8(c12,f4(X1))
| ~ p10(X2,c11)
| ~ p2(X1,f5(X2)) ),
inference(spm,[status(thm)],[c_0_15,c_0_14]) ).
cnf(c_0_21,negated_conjecture,
( p8(X1,f4(f5(X2)))
| ~ p8(X1,f4(f6(X2))) ),
p8_16 ).
cnf(c_0_22,negated_conjecture,
( p8(X1,X2)
| ~ p7(c12,X1)
| ~ p3(c13,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,negated_conjecture,
p7(X1,X1),
p7_4 ).
cnf(c_0_24,negated_conjecture,
p3(f4(c14),c13),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,negated_conjecture,
( ~ p8(c12,f4(f6(X1)))
| ~ p10(X2,c11)
| ~ p2(f5(X1),f5(X2)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
( p8(c12,X1)
| ~ p3(c13,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,negated_conjecture,
( p3(X1,c13)
| ~ p3(f4(c14),X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_24]) ).
cnf(c_0_28,negated_conjecture,
( p3(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
p3_9 ).
cnf(c_0_29,negated_conjecture,
( ~ p10(X1,c11)
| ~ p3(c13,f4(f6(X2)))
| ~ p2(f5(X2),f5(X1)) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
p2(X1,X1),
p2_2 ).
cnf(c_0_31,negated_conjecture,
( p3(f4(X1),c13)
| ~ p2(c14,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
( ~ p10(X1,c11)
| ~ p3(c13,f4(f6(X1))) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_33,negated_conjecture,
( p3(c13,f4(X1))
| ~ p2(c14,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_31]) ).
cnf(c_0_34,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_13 ).
cnf(c_0_35,negated_conjecture,
p2(c14,f6(c15)),
p2_7 ).
cnf(c_0_36,negated_conjecture,
( ~ p10(X1,c11)
| ~ p2(c14,f6(X1)) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,negated_conjecture,
( p2(X1,f6(c15))
| ~ p2(c14,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,negated_conjecture,
p10(c15,c11),
p10_5 ).
cnf(c_0_39,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN566-1 : 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 : 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
% 1.26/1.72 % Version : CSE_E---1.7
% 1.26/1.72 % Problem : theBenchmark.p
% 1.26/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.26/1.72 % SZS output start CNFRefutation
% See solution above
% 1.26/1.72 % Total time : 1.368s
%------------------------------------------------------------------------------