%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN690-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 09:10:52 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.45s
% Output : Proof 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 42 ( 33 unt; 4 nHn; 39 RR)
% Number of literals : 68 ( 0 equ; 24 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 10 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p34_19,negated_conjecture,
p34(c36,c37),
file('theBenchmark.p',p34_19) ).
cnf(not_p2_20,negated_conjecture,
~ p2(c38,c40),
file('theBenchmark.p',not_p2_20) ).
cnf(p4_21,negated_conjecture,
p4(f5(c40,X114),f5(f7(c39,c40),X114)),
file('theBenchmark.p',p4_21) ).
cnf(p4_22,negated_conjecture,
p4(f5(c38,X113),f5(f7(c39,c38),X113)),
file('theBenchmark.p',p4_22) ).
cnf(p4_57,negated_conjecture,
( p35(f10(c37,f12(f14(f16(c41,X103),X104),X105)),X105)
| p4(f5(f7(c39,X103),X105),f5(f7(c39,X104),X105)) ),
file('theBenchmark.p',p4_57) ).
cnf(p4_58,negated_conjecture,
( ~ p4(f5(X103,f12(f14(f16(c41,X103),X104),X105)),f5(X104,f12(f14(f16(c41,X103),X104),X105)))
| p4(f5(f7(c39,X103),X105),f5(f7(c39,X104),X105)) ),
file('theBenchmark.p',p4_58) ).
cnf(p2_61,negated_conjecture,
( ~ p4(f5(X32,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X32),f18(f20(f22(f24(c45,X33),X34),X31),X32)))
| ~ p4(f5(X31,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X31),f18(f20(f22(f24(c45,X33),X34),X31),X32)))
| ~ p35(f10(X33,X35),f30(f32(c42,X33),X34))
| ~ p34(c36,X33)
| p4(f5(f26(f28(c43,X33),X34),X35),f5(f26(f28(c44,X33),X34),X35))
| p2(X31,X32) ),
file('theBenchmark.p',p2_61) ).
cnf(p2_62,negated_conjecture,
( ~ p4(f5(f7(X34,f26(f28(c43,X33),X34)),f30(f32(c42,X33),X34)),f5(f7(X34,f26(f28(c44,X33),X34)),f30(f32(c42,X33),X34)))
| ~ p4(f5(X32,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X32),f18(f20(f22(f24(c45,X33),X34),X31),X32)))
| ~ p4(f5(X31,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X31),f18(f20(f22(f24(c45,X33),X34),X31),X32)))
| ~ p34(c36,X33)
| p2(X31,X32) ),
file('theBenchmark.p',p2_62) ).
cnf(t1,plain,
~ p2(c38,c40),
inference(start,[status(thm),parent(0:0)],[not_p2_20]) ).
cnf(t2,plain,
( p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))))
| ~ p34(c36,c37)
| ~ p35(f10(c37,f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f30(f32(c42,c37),c39))
| ~ p4(f5(c38,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c38),f18(f20(f22(f24(c45,c37),c39),c38),c40)))
| ~ p4(f5(c40,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c40),f18(f20(f22(f24(c45,c37),c39),c38),c40)))
| p2(c38,c40) ),
inference(extension,[status(thm),parent(t1:1)],[p2_61]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
p4(f5(c40,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c40),f18(f20(f22(f24(c45,c37),c39),c38),c40))),
inference(extension,[status(thm),parent(t2:2)],[p4_21]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(l2,lemma,
p4(f5(c40,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c40),f18(f20(f22(f24(c45,c37),c39),c38),c40))),
inference(lemma,[status(cth),parent(t2:2),below(t1:1)],[t2:2]) ).
cnf(t6,plain,
p4(f5(c38,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c38),f18(f20(f22(f24(c45,c37),c39),c38),c40))),
inference(extension,[status(thm),parent(t2:3)],[p4_22]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(l3,lemma,
p4(f5(c38,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c38),f18(f20(f22(f24(c45,c37),c39),c38),c40))),
inference(lemma,[status(cth),parent(t2:3),below(t1:1)],[t2:3]) ).
cnf(t8,plain,
( p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39)))
| p35(f10(c37,f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f30(f32(c42,c37),c39)) ),
inference(extension,[status(thm),parent(t2:4)],[p4_57]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:4]) ).
cnf(t10,plain,
( ~ p34(c36,c37)
| ~ p4(f5(c38,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c38),f18(f20(f22(f24(c45,c37),c39),c38),c40)))
| ~ p4(f5(c40,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c40),f18(f20(f22(f24(c45,c37),c39),c38),c40)))
| p2(c38,c40)
| ~ p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))) ),
inference(extension,[status(thm),parent(t8:2)],[p2_62]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
$false,
inference(reduction,[status(thm),parent(t10:2)],[t10:2,t1:1]) ).
cnf(t13,plain,
p4(f5(c40,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c40),f18(f20(f22(f24(c45,c37),c39),c38),c40))),
inference(lemma_extension,[status(thm),parent(t10:3)],[l2:1]) ).
cnf(t14,plain,
$false,
inference(connection,[status(thm),parent(t13:1)],[t13:1,t10:3]) ).
cnf(t15,plain,
p4(f5(c38,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c38),f18(f20(f22(f24(c45,c37),c39),c38),c40))),
inference(lemma_extension,[status(thm),parent(t10:4)],[l3:1]) ).
cnf(t16,plain,
$false,
inference(connection,[status(thm),parent(t15:1)],[t15:1,t10:4]) ).
cnf(t17,plain,
p34(c36,c37),
inference(extension,[status(thm),parent(t10:5)],[p34_19]) ).
cnf(t18,plain,
$false,
inference(connection,[status(thm),parent(t17:1)],[t17:1,t10:5]) ).
cnf(t19,plain,
p34(c36,c37),
inference(extension,[status(thm),parent(t2:5)],[p34_19]) ).
cnf(t20,plain,
$false,
inference(connection,[status(thm),parent(t19:1)],[t19:1,t2:5]) ).
cnf(l8,lemma,
p34(c36,c37),
inference(lemma,[status(cth),parent(t2:5),below(t1:1)],[t2:5]) ).
cnf(t21,plain,
( p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39)))
| ~ p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39)))) ),
inference(extension,[status(thm),parent(t2:6)],[p4_58]) ).
cnf(t22,plain,
$false,
inference(connection,[status(thm),parent(t21:1)],[t21:1,t2:6]) ).
cnf(t23,plain,
( ~ p34(c36,c37)
| ~ p4(f5(c38,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c38),f18(f20(f22(f24(c45,c37),c39),c38),c40)))
| ~ p4(f5(c40,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c40),f18(f20(f22(f24(c45,c37),c39),c38),c40)))
| p2(c38,c40)
| ~ p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))) ),
inference(extension,[status(thm),parent(t21:2)],[p2_62]) ).
cnf(t24,plain,
$false,
inference(connection,[status(thm),parent(t23:1)],[t23:1,t21:2]) ).
cnf(t25,plain,
$false,
inference(reduction,[status(thm),parent(t23:2)],[t23:2,t1:1]) ).
cnf(t26,plain,
p4(f5(c40,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c40),f18(f20(f22(f24(c45,c37),c39),c38),c40))),
inference(lemma_extension,[status(thm),parent(t23:3)],[l2:1]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t23:3]) ).
cnf(t28,plain,
p4(f5(c38,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c38),f18(f20(f22(f24(c45,c37),c39),c38),c40))),
inference(lemma_extension,[status(thm),parent(t23:4)],[l3:1]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t23:4]) ).
cnf(t30,plain,
p34(c36,c37),
inference(lemma_extension,[status(thm),parent(t23:5)],[l8:1]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t23:5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN690-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n026.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 07:09:50 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.45 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------