%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN651-1 : 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 05:39:50 PM UTC 2026
% Result : Unsatisfiable 4.60s 3.26s
% Output : CNFRefutation 4.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 37 ( 11 unt; 0 nHn; 31 RR)
% Number of literals : 92 ( 0 equ; 57 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 6 ( 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 : 105 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p4_18,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_18) ).
cnf(p4_32,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_32) ).
cnf(p2_8,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).
cnf(p23_27,negated_conjecture,
( p23(X1,X2)
| ~ p3(X3,X2)
| ~ p4(X4,X1)
| ~ p23(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_27) ).
cnf(p23_41,negated_conjecture,
( p23(f5(X1,f14(f16(f18(f20(c31,X2),X3),X1),X4)),X4)
| ~ p23(f5(f7(f10(c24,f12(c25,X2)),X1),X3),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_41) ).
cnf(p3_6,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_6) ).
cnf(p23_44,negated_conjecture,
( p23(f5(f7(f10(c24,f12(c25,c26)),c27),X1),X2)
| ~ p23(f5(c27,X1),X3)
| ~ p23(f5(f7(f10(c24,c26),c27),X3),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_44) ).
cnf(p23_45,negated_conjecture,
( p23(f5(f7(f10(c24,X1),X2),X3),f14(f16(f18(f20(c31,X1),X3),X2),X4))
| ~ p23(f5(f7(f10(c24,f12(c25,X1)),X2),X3),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_45) ).
cnf(p23_26,negated_conjecture,
p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_26) ).
cnf(p23_43,negated_conjecture,
( p23(f5(f7(f10(c24,f12(c25,X1)),X2),X3),X4)
| ~ p23(f5(X2,X5),X4)
| ~ p23(f5(f7(f10(c24,X1),X2),X3),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_43) ).
cnf(not_p23_28,negated_conjecture,
~ p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p23_28) ).
cnf(p23_13,negated_conjecture,
p23(f5(c27,c28),c30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_13) ).
cnf(c_0_12,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
p4_18 ).
cnf(c_0_13,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
p4_32 ).
cnf(c_0_14,negated_conjecture,
( p4(X1,f5(X2,X3))
| ~ p2(X4,X2)
| ~ p3(X5,X3)
| ~ p4(f5(X4,X5),X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,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_14,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
p2(X1,X1),
p2_8 ).
cnf(c_0_17,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X3,X1)
| ~ p3(X5,X4)
| ~ p3(X5,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,negated_conjecture,
( p23(X1,X2)
| ~ p3(X3,X2)
| ~ p4(X4,X1)
| ~ p23(X4,X3) ),
p23_27 ).
cnf(c_0_19,negated_conjecture,
( p23(f5(X1,f14(f16(f18(f20(c31,X2),X3),X1),X4)),X4)
| ~ p23(f5(f7(f10(c24,f12(c25,X2)),X1),X3),X4) ),
p23_41 ).
cnf(c_0_20,negated_conjecture,
( p4(f5(X1,X2),f5(X1,X3))
| ~ p3(X4,X3)
| ~ p3(X4,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
p3(X1,X1),
p3_6 ).
cnf(c_0_22,negated_conjecture,
( p23(X1,X2)
| ~ p23(f5(f7(f10(c24,f12(c25,X3)),X4),X5),X6)
| ~ p3(X6,X2)
| ~ p4(f5(X4,f14(f16(f18(f20(c31,X3),X5),X4),X6)),X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( p4(f5(X1,X2),f5(X1,X3))
| ~ p3(X3,X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
( p23(f5(f7(f10(c24,f12(c25,c26)),c27),X1),X2)
| ~ p23(f5(c27,X1),X3)
| ~ p23(f5(f7(f10(c24,c26),c27),X3),X2) ),
p23_44 ).
cnf(c_0_25,negated_conjecture,
( p23(f5(f7(f10(c24,X1),X2),X3),f14(f16(f18(f20(c31,X1),X3),X2),X4))
| ~ p23(f5(f7(f10(c24,f12(c25,X1)),X2),X3),X4) ),
p23_45 ).
cnf(c_0_26,negated_conjecture,
( p23(f5(X1,X2),X3)
| ~ p23(f5(f7(f10(c24,f12(c25,X4)),X1),X5),X6)
| ~ p3(X2,f14(f16(f18(f20(c31,X4),X5),X1),X6))
| ~ p3(X6,X3) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,negated_conjecture,
p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29),
p23_26 ).
cnf(c_0_28,negated_conjecture,
( p23(f5(f7(f10(c24,f12(c25,X1)),X2),X3),X4)
| ~ p23(f5(X2,X5),X4)
| ~ p23(f5(f7(f10(c24,X1),X2),X3),X5) ),
p23_43 ).
cnf(c_0_29,negated_conjecture,
( p23(f5(f7(f10(c24,f12(c25,c26)),c27),X1),f14(f16(f18(f20(c31,c26),X2),c27),X3))
| ~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),X2),X3)
| ~ p23(f5(c27,X1),X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,negated_conjecture,
( p23(f5(c27,X1),X2)
| ~ p3(X1,f14(f16(f18(f20(c31,c26),c30),c27),c29))
| ~ p3(c29,X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,negated_conjecture,
( p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),X1),X2)
| ~ p23(f5(c27,f14(f16(f18(f20(c31,c26),X3),c27),X4)),X2)
| ~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),X3),X4)
| ~ p23(f5(c27,X1),X3) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,negated_conjecture,
( p23(f5(c27,f14(f16(f18(f20(c31,c26),c30),c27),c29)),X1)
| ~ p3(c29,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_21]) ).
cnf(c_0_33,negated_conjecture,
~ p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29),
not_p23_28 ).
cnf(c_0_34,negated_conjecture,
( p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),X1),X2)
| ~ p23(f5(c27,X1),c30)
| ~ p3(c29,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_27])]) ).
cnf(c_0_35,negated_conjecture,
p23(f5(c27,c28),c30),
p23_13 ).
cnf(c_0_36,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN651-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.11 % 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
% 0.14/0.32 % Computer : n013.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 08:42:41 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 4.60/3.26 % Version : CSE_E---1.7
% 4.60/3.26 % Problem : theBenchmark.p
% 4.60/3.26 % SZS status Unsatisfiable for theBenchmark.p
% 4.60/3.26 % SZS output start CNFRefutation
% See solution above
% 4.60/3.27 % Total time : 2.369s
%------------------------------------------------------------------------------