%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN632-1 : 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 : n022.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 1.41s 1.78s
% Output : CNFRefutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of clauses : 45 ( 13 unt; 0 nHn; 34 RR)
% Number of literals : 100 ( 0 equ; 59 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 110 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p21_23,negated_conjecture,
( p21(X1,X2)
| ~ p3(X3,X2)
| ~ p4(X4,X1)
| ~ p21(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_23) ).
cnf(p21_38,negated_conjecture,
( p21(f5(f7(f10(c24,X1),X2),X3),f14(f16(f18(f20(c29,X1),X3),X2),X4))
| ~ p21(f5(f7(f10(c24,f12(c28,X1)),X2),X3),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_38) ).
cnf(p21_24,negated_conjecture,
p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),c27),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_24) ).
cnf(p4_16,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_16) ).
cnf(p4_31,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_31) ).
cnf(p3_6,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_6) ).
cnf(p3_33,negated_conjecture,
( p3(X1,X2)
| ~ p21(f5(f7(f10(c24,f12(c25,c26)),X3),X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_33) ).
cnf(p2_7,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).
cnf(p3_17,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_17) ).
cnf(p4_5,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).
cnf(p21_36,negated_conjecture,
( p21(f5(X1,f14(f16(f18(f20(c29,X2),X3),X1),X4)),X4)
| ~ p21(f5(f7(f10(c24,f12(c28,X2)),X1),X3),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_36) ).
cnf(not_p21_35,negated_conjecture,
( ~ p21(f5(c22,c23),X1)
| ~ p21(f5(f7(f10(c24,f12(c25,c26)),c22),X1),c27) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p21_35) ).
cnf(p21_34,negated_conjecture,
( p21(f5(f7(f10(c24,f12(c25,c26)),X1),X2),X3)
| ~ p3(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_34) ).
cnf(c_0_13,negated_conjecture,
( p21(X1,X2)
| ~ p3(X3,X2)
| ~ p4(X4,X1)
| ~ p21(X4,X3) ),
p21_23 ).
cnf(c_0_14,negated_conjecture,
( p21(f5(f7(f10(c24,X1),X2),X3),f14(f16(f18(f20(c29,X1),X3),X2),X4))
| ~ p21(f5(f7(f10(c24,f12(c28,X1)),X2),X3),X4) ),
p21_38 ).
cnf(c_0_15,negated_conjecture,
( p21(X1,X2)
| ~ p21(f5(f7(f10(c24,f12(c28,X3)),X4),X5),X6)
| ~ p3(f14(f16(f18(f20(c29,X3),X5),X4),X6),X2)
| ~ p4(f5(f7(f10(c24,X3),X4),X5),X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,negated_conjecture,
p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),c27),
p21_24 ).
cnf(c_0_17,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
p4_16 ).
cnf(c_0_18,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
p4_31 ).
cnf(c_0_19,negated_conjecture,
( p21(X1,X2)
| ~ p3(f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27),X2)
| ~ p4(f5(f7(f10(c24,f12(c25,c26)),c22),c23),X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
p3(X1,X1),
p3_6 ).
cnf(c_0_21,negated_conjecture,
( p4(X1,f5(X2,X3))
| ~ p2(X4,X2)
| ~ p3(X5,X3)
| ~ p4(f5(X4,X5),X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
( p3(X1,X2)
| ~ p21(f5(f7(f10(c24,f12(c25,c26)),X3),X1),X2) ),
p3_33 ).
cnf(c_0_23,negated_conjecture,
( p21(X1,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27))
| ~ p4(f5(f7(f10(c24,f12(c25,c26)),c22),c23),X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X5,X3)
| ~ p2(X5,X1)
| ~ p3(X6,X4)
| ~ p3(X6,X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_18]) ).
cnf(c_0_25,negated_conjecture,
p2(X1,X1),
p2_7 ).
cnf(c_0_26,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
p3_17 ).
cnf(c_0_27,negated_conjecture,
( p3(X1,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27))
| ~ p4(f5(f7(f10(c24,f12(c25,c26)),c22),c23),f5(f7(f10(c24,f12(c25,c26)),X2),X1)) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
p4(X1,X1),
p4_5 ).
cnf(c_0_29,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X3,X1)
| ~ p3(X5,X4)
| ~ p3(X5,X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,negated_conjecture,
( p3(X1,X2)
| ~ p3(X2,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_20]) ).
cnf(c_0_31,negated_conjecture,
p3(c23,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
( p4(f5(X1,X2),f5(X1,X3))
| ~ p3(X4,X3)
| ~ p3(X4,X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_25]) ).
cnf(c_0_33,negated_conjecture,
p3(f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27),c23),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,negated_conjecture,
( p21(f5(X1,f14(f16(f18(f20(c29,X2),X3),X1),X4)),X4)
| ~ p21(f5(f7(f10(c24,f12(c28,X2)),X1),X3),X4) ),
p21_36 ).
cnf(c_0_35,negated_conjecture,
( p4(f5(X1,X2),f5(X1,c23))
| ~ p3(f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27),X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,negated_conjecture,
( p3(X1,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27))
| ~ p3(c23,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_31]) ).
cnf(c_0_37,negated_conjecture,
( ~ p21(f5(c22,c23),X1)
| ~ p21(f5(f7(f10(c24,f12(c25,c26)),c22),X1),c27) ),
not_p21_35 ).
cnf(c_0_38,negated_conjecture,
( p21(f5(f7(f10(c24,f12(c25,c26)),X1),X2),X3)
| ~ p3(X2,X3) ),
p21_34 ).
cnf(c_0_39,negated_conjecture,
( p21(X1,X2)
| ~ p21(f5(f7(f10(c24,f12(c28,X3)),X4),X5),X6)
| ~ p3(X6,X2)
| ~ p4(f5(X4,f14(f16(f18(f20(c29,X3),X5),X4),X6)),X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_34]) ).
cnf(c_0_40,negated_conjecture,
p4(f5(X1,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),f5(X1,c23)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_31])]) ).
cnf(c_0_41,negated_conjecture,
( ~ p21(f5(c22,c23),X1)
| ~ p3(X1,c27) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,negated_conjecture,
( p21(f5(c22,c23),X1)
| ~ p3(c27,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_16])]) ).
cnf(c_0_43,negated_conjecture,
~ p3(X1,c27),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_30]) ).
cnf(c_0_44,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_43,c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN632-1 : 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
% 0.16/0.33 % Computer : n022.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 08:41:06 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.41/1.78 % Version : CSE_E---1.7
% 1.41/1.78 % Problem : theBenchmark.p
% 1.41/1.78 % SZS status Unsatisfiable for theBenchmark.p
% 1.41/1.78 % SZS output start CNFRefutation
% See solution above
% 1.41/1.78 % Total time : 1.368s
%------------------------------------------------------------------------------