%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN590-1 : 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 05:39:42 PM UTC 2026
% Result : Unsatisfiable 6.15s 4.51s
% Output : CNFRefutation 6.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 30 ( 8 unt; 0 nHn; 28 RR)
% Number of literals : 64 ( 0 equ; 38 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 43 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p10_26,negated_conjecture,
( p10(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X4,X2)
| ~ p10(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_26) ).
cnf(p10_19,negated_conjecture,
( p10(f4(f9(X1)),f4(X1))
| ~ p11(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_19) ).
cnf(p3_24,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_24) ).
cnf(p3_6,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_6) ).
cnf(p3_18,negated_conjecture,
( p3(f4(X1),f6(f8(X1)))
| ~ p11(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_18) ).
cnf(p11_9,negated_conjecture,
( p11(f9(X1))
| ~ p11(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_9) ).
cnf(p3_8,negated_conjecture,
p3(f4(c16),f6(c15)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_8) ).
cnf(not_p11_25,negated_conjecture,
( ~ p11(X1)
| ~ p12(X2,c15)
| ~ p3(f4(X1),f6(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_25) ).
cnf(p12_11,negated_conjecture,
( p12(X1,X2)
| ~ p10(f6(X1),f6(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_11) ).
cnf(c16_is_p11_3,negated_conjecture,
p11(c16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c16_is_p11_3) ).
cnf(c_0_10,negated_conjecture,
( p10(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X4,X2)
| ~ p10(X3,X4) ),
p10_26 ).
cnf(c_0_11,negated_conjecture,
( p10(f4(f9(X1)),f4(X1))
| ~ p11(X1) ),
p10_19 ).
cnf(c_0_12,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
p3_24 ).
cnf(c_0_13,negated_conjecture,
p3(X1,X1),
p3_6 ).
cnf(c_0_14,negated_conjecture,
( p10(X1,X2)
| ~ p3(f4(f9(X3)),X1)
| ~ p3(f4(X3),X2)
| ~ p11(X3) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
( p3(f4(X1),f6(f8(X1)))
| ~ p11(X1) ),
p3_18 ).
cnf(c_0_16,negated_conjecture,
( p11(f9(X1))
| ~ p11(X1) ),
p11_9 ).
cnf(c_0_17,negated_conjecture,
( p3(X1,X2)
| ~ p3(X2,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
p3(f4(c16),f6(c15)),
p3_8 ).
cnf(c_0_19,negated_conjecture,
( ~ p11(X1)
| ~ p12(X2,c15)
| ~ p3(f4(X1),f6(X2)) ),
not_p11_25 ).
cnf(c_0_20,negated_conjecture,
( p12(X1,X2)
| ~ p10(f6(X1),f6(X2)) ),
p12_11 ).
cnf(c_0_21,negated_conjecture,
( p10(f6(f8(f9(X1))),X2)
| ~ p3(f4(X1),X2)
| ~ p11(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_22,negated_conjecture,
p3(f6(c15),f4(c16)),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
( ~ p12(f8(X1),c15)
| ~ p11(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_15]) ).
cnf(c_0_24,negated_conjecture,
( p12(f8(f9(X1)),X2)
| ~ p3(f4(X1),f6(X2))
| ~ p11(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
( p3(X1,f4(c16))
| ~ p3(f6(c15),X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( ~ p3(f4(X1),f6(c15))
| ~ p11(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_16]) ).
cnf(c_0_27,negated_conjecture,
( p3(f4(c16),X1)
| ~ p3(f6(c15),X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
p11(c16),
c16_is_p11_3 ).
cnf(c_0_29,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN590-1 : 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 : 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 08:40:50 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 6.15/4.51 % Version : CSE_E---1.7
% 6.15/4.51 % Problem : theBenchmark.p
% 6.15/4.51 % SZS status Unsatisfiable for theBenchmark.p
% 6.15/4.51 % SZS output start CNFRefutation
% See solution above
% 6.15/4.53 % Total time : 3.371s
%------------------------------------------------------------------------------