%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN686-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 33.66s 33.97s
% Output : Proof 33.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 18
% Syntax : Number of clauses : 80 ( 58 unt; 0 nHn; 75 RR)
% Number of literals : 126 ( 0 equ; 48 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p11_1,negated_conjecture,
p11(X0,X0),
file('theBenchmark.p',p11_1) ).
cnf(p8_3,negated_conjecture,
p8(X91,X91),
file('theBenchmark.p',p8_3) ).
cnf(p4_5,negated_conjecture,
p4(X81,X81),
file('theBenchmark.p',p4_5) ).
cnf(p3_6,negated_conjecture,
p3(X57,X57),
file('theBenchmark.p',p3_6) ).
cnf(p2_12,negated_conjecture,
p2(X27,X27),
file('theBenchmark.p',p2_12) ).
cnf(p3_17,negated_conjecture,
p3(c36,f7(c33,c34)),
file('theBenchmark.p',p3_17) ).
cnf(p4_19,negated_conjecture,
p4(f5(c32,c36),c37),
file('theBenchmark.p',p4_19) ).
cnf(p4_20,negated_conjecture,
p4(f5(c32,f7(c33,c34)),c35),
file('theBenchmark.p',p4_20) ).
cnf(p30_21,negated_conjecture,
p30(f10(f12(c39,c36),c37),c41),
file('theBenchmark.p',p30_21) ).
cnf(not_p30_22,negated_conjecture,
~ p30(f10(f12(c39,f7(c33,c34)),c35),c41),
file('theBenchmark.p',not_p30_22) ).
cnf(p9_24,negated_conjecture,
( ~ p9(X102,X104)
| ~ p9(X102,X103)
| p9(X103,X104) ),
file('theBenchmark.p',p9_24) ).
cnf(p4_27,negated_conjecture,
( ~ p4(X81,X83)
| ~ p4(X81,X82)
| p4(X82,X83) ),
file('theBenchmark.p',p4_27) ).
cnf(p3_28,negated_conjecture,
( ~ p3(X57,X59)
| ~ p3(X57,X58)
| p3(X58,X59) ),
file('theBenchmark.p',p3_28) ).
cnf(p2_34,negated_conjecture,
( ~ p2(X27,X29)
| ~ p2(X27,X28)
| p2(X28,X29) ),
file('theBenchmark.p',p2_34) ).
cnf(p30_39,negated_conjecture,
( ~ p30(X70,X71)
| ~ p9(X70,X68)
| ~ p4(X71,X69)
| p30(X68,X69) ),
file('theBenchmark.p',p30_39) ).
cnf(p9_41,negated_conjecture,
( ~ p8(X105,X107)
| ~ p4(X106,X108)
| p9(f10(X105,X106),f10(X107,X108)) ),
file('theBenchmark.p',p9_41) ).
cnf(p4_50,negated_conjecture,
( ~ p3(X85,X87)
| ~ p2(X84,X86)
| p4(f5(X84,X85),f5(X86,X87)) ),
file('theBenchmark.p',p4_50) ).
cnf(p8_51,negated_conjecture,
( ~ p3(X95,X97)
| ~ p11(X94,X96)
| p8(f12(X94,X95),f12(X96,X97)) ),
file('theBenchmark.p',p8_51) ).
cnf(t1,plain,
( ~ p4(c35,f5(c32,c36))
| ~ p4(c35,c35)
| p4(f5(c32,c36),c35) ),
inference(start,[status(thm),parent(0:0)],[p4_27]) ).
cnf(t2,plain,
( ~ p8(f12(c39,c36),f12(c39,f7(c33,c34)))
| p9(f10(f12(c39,c36),f5(c32,c36)),f10(f12(c39,f7(c33,c34)),c35))
| ~ p4(f5(c32,c36),c35) ),
inference(extension,[status(thm),parent(t1:1)],[p9_41]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ p9(f10(f12(c39,c36),f5(c32,c36)),f10(f12(c39,c36),c37))
| p9(f10(f12(c39,c36),c37),f10(f12(c39,f7(c33,c34)),c35))
| ~ p9(f10(f12(c39,c36),f5(c32,c36)),f10(f12(c39,f7(c33,c34)),c35)) ),
inference(extension,[status(thm),parent(t2:2)],[p9_24]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ p4(c41,c41)
| ~ p30(f10(f12(c39,c36),c37),c41)
| p30(f10(f12(c39,f7(c33,c34)),c35),c41)
| ~ p9(f10(f12(c39,c36),c37),f10(f12(c39,f7(c33,c34)),c35)) ),
inference(extension,[status(thm),parent(t4:2)],[p30_39]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
~ p30(f10(f12(c39,f7(c33,c34)),c35),c41),
inference(extension,[status(thm),parent(t6:2)],[not_p30_22]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
p30(f10(f12(c39,c36),c37),c41),
inference(extension,[status(thm),parent(t6:3)],[p30_21]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).
cnf(t12,plain,
p4(c41,c41),
inference(extension,[status(thm),parent(t6:4)],[p4_5]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t6:4]) ).
cnf(t14,plain,
( ~ p4(f5(c32,c36),c37)
| ~ p8(f12(c39,c36),f12(c39,c36))
| p9(f10(f12(c39,c36),f5(c32,c36)),f10(f12(c39,c36),c37)) ),
inference(extension,[status(thm),parent(t4:3)],[p9_41]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t4:3]) ).
cnf(t16,plain,
p8(f12(c39,c36),f12(c39,c36)),
inference(extension,[status(thm),parent(t14:2)],[p8_3]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
p4(f5(c32,c36),c37),
inference(extension,[status(thm),parent(t14:3)],[p4_19]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t14:3]) ).
cnf(t20,plain,
( ~ p11(c39,c39)
| ~ p3(c36,f7(c33,c34))
| p8(f12(c39,c36),f12(c39,f7(c33,c34))) ),
inference(extension,[status(thm),parent(t2:3)],[p8_51]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t2:3]) ).
cnf(t22,plain,
p3(c36,f7(c33,c34)),
inference(extension,[status(thm),parent(t20:2)],[p3_17]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
p11(c39,c39),
inference(extension,[status(thm),parent(t20:3)],[p11_1]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t20:3]) ).
cnf(t26,plain,
( ~ p4(c35,c35)
| ~ p4(c35,c35)
| p4(c35,c35) ),
inference(extension,[status(thm),parent(t1:2)],[p4_27]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t1:2]) ).
cnf(t28,plain,
( ~ p4(c35,c35)
| ~ p4(c35,c35)
| p4(c35,c35) ),
inference(extension,[status(thm),parent(t26:2)],[p4_27]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
( ~ p4(f5(c32,f7(c33,c34)),c35)
| ~ p4(f5(c32,f7(c33,c34)),c35)
| p4(c35,c35) ),
inference(extension,[status(thm),parent(t28:2)],[p4_27]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).
cnf(t32,plain,
p4(f5(c32,f7(c33,c34)),c35),
inference(extension,[status(thm),parent(t30:2)],[p4_20]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
p4(f5(c32,f7(c33,c34)),c35),
inference(extension,[status(thm),parent(t30:3)],[p4_20]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t30:3]) ).
cnf(t36,plain,
( ~ p4(f5(c32,f7(c33,c34)),c35)
| ~ p4(f5(c32,f7(c33,c34)),c35)
| p4(c35,c35) ),
inference(extension,[status(thm),parent(t28:3)],[p4_27]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t28:3]) ).
cnf(t38,plain,
p4(f5(c32,f7(c33,c34)),c35),
inference(extension,[status(thm),parent(t36:2)],[p4_20]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).
cnf(l19,lemma,
p4(f5(c32,f7(c33,c34)),c35),
inference(lemma,[status(cth),parent(t36:2),below(t28:3)],[t36:2]) ).
cnf(t40,plain,
p4(f5(c32,f7(c33,c34)),c35),
inference(lemma_extension,[status(thm),parent(t36:3)],[l19:1]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t36:3]) ).
cnf(t42,plain,
p4(c35,c35),
inference(extension,[status(thm),parent(t26:3)],[p4_5]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t26:3]) ).
cnf(t44,plain,
( ~ p4(f5(c32,f7(c33,c34)),c35)
| ~ p4(f5(c32,f7(c33,c34)),f5(c32,c36))
| p4(c35,f5(c32,c36)) ),
inference(extension,[status(thm),parent(t1:3)],[p4_27]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t1:3]) ).
cnf(t46,plain,
( ~ p2(c32,c32)
| ~ p3(f7(c33,c34),c36)
| p4(f5(c32,f7(c33,c34)),f5(c32,c36)) ),
inference(extension,[status(thm),parent(t44:2)],[p4_50]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t44:2]) ).
cnf(t48,plain,
( ~ p3(c36,f7(c33,c34))
| ~ p3(c36,c36)
| p3(f7(c33,c34),c36) ),
inference(extension,[status(thm),parent(t46:2)],[p3_28]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t46:2]) ).
cnf(t50,plain,
p3(c36,c36),
inference(extension,[status(thm),parent(t48:2)],[p3_6]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t48:2]) ).
cnf(t52,plain,
p3(c36,f7(c33,c34)),
inference(extension,[status(thm),parent(t48:3)],[p3_17]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t48:3]) ).
cnf(t54,plain,
( ~ p2(c32,c32)
| ~ p2(c32,c32)
| p2(c32,c32) ),
inference(extension,[status(thm),parent(t46:3)],[p2_34]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t46:3]) ).
cnf(t56,plain,
p2(c32,c32),
inference(extension,[status(thm),parent(t54:2)],[p2_12]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t54:2]) ).
cnf(t58,plain,
p2(c32,c32),
inference(extension,[status(thm),parent(t54:3)],[p2_12]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t54:3]) ).
cnf(t60,plain,
p4(f5(c32,f7(c33,c34)),c35),
inference(extension,[status(thm),parent(t44:3)],[p4_20]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t44:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN686-1 : 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/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36 % Computer : n006.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 20 07:06:42 UTC 2026
% 0.12/0.37 % CPUTime :
% 33.66/33.97 % SZS status Unsatisfiable for theBenchmark
% 33.66/33.97 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------