%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN638-1 : 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 : n028.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 05:39:48 PM UTC 2026
% Result : Unsatisfiable 22.01s 13.53s
% Output : CNFRefutation 22.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of clauses : 29 ( 13 unt; 0 nHn; 21 RR)
% Number of literals : 65 ( 0 equ; 38 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 62 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p22_28,negated_conjecture,
( p22(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X4,X2)
| ~ p22(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_28) ).
cnf(p22_40,negated_conjecture,
p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_40) ).
cnf(p4_12,negated_conjecture,
( p4(f16(X1),f16(X2))
| ~ p4(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_12) ).
cnf(p4_22,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_22) ).
cnf(p4_39,negated_conjecture,
p4(f5(f8(f11(c25),f9(f10(c25),c28)),X1,c27),f5(f8(f11(c25),f9(f10(c25),c28)),X1,c29)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_39) ).
cnf(p4_32,negated_conjecture,
( p4(f17(X1,X2),f17(X3,X4))
| ~ p4(X1,X3)
| ~ p4(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_32) ).
cnf(p4_38,negated_conjecture,
( p4(f5(X1,X2,X3),f5(X4,X5,X6))
| ~ p3(X2,X5)
| ~ p4(X3,X6)
| ~ p2(X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_38) ).
cnf(p2_6,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).
cnf(p4_4,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_4) ).
cnf(not_p22_41,negated_conjecture,
~ p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p22_41) ).
cnf(p3_5,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_5) ).
cnf(c_0_11,negated_conjecture,
( p22(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X4,X2)
| ~ p22(X3,X4) ),
p22_28 ).
cnf(c_0_12,negated_conjecture,
p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27)))),
p22_40 ).
cnf(c_0_13,negated_conjecture,
( p22(X1,X2)
| ~ p4(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),X1)
| ~ p4(f16(f17(c27,f5(c25,c26,c27))),X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
( p4(f16(X1),f16(X2))
| ~ p4(X1,X2) ),
p4_12 ).
cnf(c_0_15,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
p4_22 ).
cnf(c_0_16,negated_conjecture,
p4(f5(f8(f11(c25),f9(f10(c25),c28)),X1,c27),f5(f8(f11(c25),f9(f10(c25),c28)),X1,c29)),
p4_39 ).
cnf(c_0_17,negated_conjecture,
( p22(f16(X1),X2)
| ~ p4(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27)),X1)
| ~ p4(f16(f17(c27,f5(c25,c26,c27))),X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( p4(f17(X1,X2),f17(X3,X4))
| ~ p4(X1,X3)
| ~ p4(X2,X4) ),
p4_32 ).
cnf(c_0_19,negated_conjecture,
( p4(X1,f5(f8(f11(c25),f9(f10(c25),c28)),X2,c29))
| ~ p4(f5(f8(f11(c25),f9(f10(c25),c28)),X2,c27),X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( p4(f5(X1,X2,X3),f5(X4,X5,X6))
| ~ p3(X2,X5)
| ~ p4(X3,X6)
| ~ p2(X1,X4) ),
p4_38 ).
cnf(c_0_21,negated_conjecture,
( p22(f16(f17(X1,X2)),X3)
| ~ p4(f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27),X2)
| ~ p4(f16(f17(c27,f5(c25,c26,c27))),X3)
| ~ p4(c27,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
( p4(f5(X1,X2,X3),f5(f8(f11(c25),f9(f10(c25),c28)),X4,c29))
| ~ p2(f8(f11(c25),f9(f10(c25),c28)),X1)
| ~ p3(X4,X2)
| ~ p4(c27,X3) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
p2(X1,X1),
p2_6 ).
cnf(c_0_24,negated_conjecture,
p4(X1,X1),
p4_4 ).
cnf(c_0_25,negated_conjecture,
~ p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
not_p22_41 ).
cnf(c_0_26,negated_conjecture,
( p22(f16(f17(X1,f5(f8(f11(c25),f9(f10(c25),c28)),X2,c29))),X3)
| ~ p3(X2,c26)
| ~ p4(f16(f17(c27,f5(c25,c26,c27))),X3)
| ~ p4(c27,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24])]) ).
cnf(c_0_27,negated_conjecture,
p3(X1,X1),
p3_5 ).
cnf(c_0_28,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_25,c_0_26]),c_0_27]),c_0_24]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN638-1 : 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
% 0.14/0.33 % Computer : n028.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 08:42:01 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 22.01/13.53 % Version : CSE_E---1.7
% 22.01/13.53 % Problem : theBenchmark.p
% 22.01/13.53 % SZS status Unsatisfiable for theBenchmark.p
% 22.01/13.53 % SZS output start CNFRefutation
% See solution above
% 22.10/13.61 % Total time : 10.380s
%------------------------------------------------------------------------------