%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN704-1 : 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 : n001.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 09:10:54 AM UTC 2026
% Result : Unsatisfiable 0.55s 0.86s
% Output : Proof 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 13
% Syntax : Number of clauses : 84 ( 62 unt; 0 nHn; 80 RR)
% Number of literals : 129 ( 0 equ; 47 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 11 con; 0-2 aty)
% Number of variables : 33 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p7_3,negated_conjecture,
p7(X162,X162),
file('theBenchmark.p',p7_3) ).
cnf(p6_4,negated_conjecture,
p6(X155,X155),
file('theBenchmark.p',p6_4) ).
cnf(p2_20,negated_conjecture,
p2(X38,X38),
file('theBenchmark.p',p2_20) ).
cnf(p7_26,negated_conjecture,
p7(c54,c55),
file('theBenchmark.p',p7_26) ).
cnf(p7_29,negated_conjecture,
( ~ p7(X162,X164)
| ~ p7(X162,X163)
| p7(X163,X164) ),
file('theBenchmark.p',p7_29) ).
cnf(p2_46,negated_conjecture,
( ~ p2(X38,X40)
| ~ p2(X38,X39)
| p2(X39,X40) ),
file('theBenchmark.p',p2_46) ).
cnf(not_p47_52,negated_conjecture,
~ p47(f20(f22(f24(f26(c56,X65),X66),X67),X68),X68),
file('theBenchmark.p',not_p47_52) ).
cnf(p47_53,negated_conjecture,
( ~ p4(X153,X151)
| ~ p7(X154,X152)
| ~ p47(X153,X154)
| p47(X151,X152) ),
file('theBenchmark.p',p47_53) ).
cnf(p4_58,negated_conjecture,
( ~ p3(X127,X129)
| ~ p2(X126,X128)
| p4(f5(X126,X127),f5(X128,X129)) ),
file('theBenchmark.p',p4_58) ).
cnf(p3_64,negated_conjecture,
( ~ p7(X85,X87)
| ~ p6(X84,X86)
| p3(f8(X84,X85),f8(X86,X87)) ),
file('theBenchmark.p',p3_64) ).
cnf(p47_74,negated_conjecture,
( ~ p47(f5(c48,f13(f16(f18(c50,X147),X149),X150)),X148)
| p47(X147,X148) ),
file('theBenchmark.p',p47_74) ).
cnf(p47_77,negated_conjecture,
p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55),
file('theBenchmark.p',p47_77) ).
cnf(p3_80,negated_conjecture,
p3(f8(f10(c49,f13(f16(f18(c50,X65),X66),X67)),X68),f13(f16(f18(c50,f20(f22(f24(f26(c56,X65),X66),X67),X68)),f30(f32(f34(f36(c57,X65),X66),X67),X68)),f40(f42(f44(f46(c58,X65),X66),X67),X68))),
file('theBenchmark.p',p3_80) ).
cnf(t1,plain,
~ p47(f20(f22(f24(f26(c56,c51),c52),c53),c55),c55),
inference(start,[status(thm),parent(0:0)],[not_p47_52]) ).
cnf(t2,plain,
( ~ p47(f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c55)),f30(f32(f34(f36(c57,c51),c52),c53),c55)),f40(f42(f44(f46(c58,c51),c52),c53),c55))),c55)
| p47(f20(f22(f24(f26(c56,c51),c52),c53),c55),c55) ),
inference(extension,[status(thm),parent(t1:1)],[p47_74]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c55)),c55)
| ~ p7(c55,c55)
| ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c55)),f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c55)),f30(f32(f34(f36(c57,c51),c52),c53),c55)),f40(f42(f44(f46(c58,c51),c52),c53),c55))))
| p47(f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c55)),f30(f32(f34(f36(c57,c51),c52),c53),c55)),f40(f42(f44(f46(c58,c51),c52),c53),c55))),c55) ),
inference(extension,[status(thm),parent(t2:2)],[p47_53]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ p2(c48,c48)
| ~ p3(f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c55),f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c55)),f30(f32(f34(f36(c57,c51),c52),c53),c55)),f40(f42(f44(f46(c58,c51),c52),c53),c55)))
| p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c55)),f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c55)),f30(f32(f34(f36(c57,c51),c52),c53),c55)),f40(f42(f44(f46(c58,c51),c52),c53),c55)))) ),
inference(extension,[status(thm),parent(t4:2)],[p4_58]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
p3(f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c55),f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c55)),f30(f32(f34(f36(c57,c51),c52),c53),c55)),f40(f42(f44(f46(c58,c51),c52),c53),c55))),
inference(extension,[status(thm),parent(t6:2)],[p3_80]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ p2(c48,c48)
| ~ p2(c48,c48)
| p2(c48,c48) ),
inference(extension,[status(thm),parent(t6:3)],[p2_46]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).
cnf(t12,plain,
( ~ p2(c48,c48)
| ~ p2(c48,c48)
| p2(c48,c48) ),
inference(extension,[status(thm),parent(t10:2)],[p2_46]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
p2(c48,c48),
inference(extension,[status(thm),parent(t12:2)],[p2_20]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
p2(c48,c48),
inference(extension,[status(thm),parent(t12:3)],[p2_20]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t12:3]) ).
cnf(t18,plain,
p2(c48,c48),
inference(extension,[status(thm),parent(t10:3)],[p2_20]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t10:3]) ).
cnf(t20,plain,
( ~ p7(c55,c55)
| ~ p7(c55,c55)
| p7(c55,c55) ),
inference(extension,[status(thm),parent(t4:3)],[p7_29]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t4:3]) ).
cnf(t22,plain,
( ~ p7(c55,c55)
| ~ p7(c55,c55)
| p7(c55,c55) ),
inference(extension,[status(thm),parent(t20:2)],[p7_29]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
( ~ p7(c54,c55)
| ~ p7(c54,c55)
| p7(c55,c55) ),
inference(extension,[status(thm),parent(t22:2)],[p7_29]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
p7(c54,c55),
inference(extension,[status(thm),parent(t24:2)],[p7_26]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
p7(c54,c55),
inference(extension,[status(thm),parent(t24:3)],[p7_26]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t24:3]) ).
cnf(t30,plain,
( ~ p7(c54,c55)
| ~ p7(c54,c55)
| p7(c55,c55) ),
inference(extension,[status(thm),parent(t22:3)],[p7_29]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t22:3]) ).
cnf(t32,plain,
p7(c54,c55),
inference(extension,[status(thm),parent(t30:2)],[p7_26]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(l16,lemma,
p7(c54,c55),
inference(lemma,[status(cth),parent(t30:2),below(t22:3)],[t30:2]) ).
cnf(t34,plain,
p7(c54,c55),
inference(lemma_extension,[status(thm),parent(t30:3)],[l16:1]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t30:3]) ).
cnf(t36,plain,
p7(c55,c55),
inference(extension,[status(thm),parent(t20:3)],[p7_3]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t20:3]) ).
cnf(t38,plain,
( ~ p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55)
| ~ p7(c55,c55)
| ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c55)))
| p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c55)),c55) ),
inference(extension,[status(thm),parent(t4:4)],[p47_53]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t4:4]) ).
cnf(t40,plain,
( ~ p2(c48,c48)
| ~ p3(f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54),f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c55))
| p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c55))) ),
inference(extension,[status(thm),parent(t38:2)],[p4_58]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t38:2]) ).
cnf(t42,plain,
( ~ p6(f10(c49,f13(f16(f18(c50,c51),c52),c53)),f10(c49,f13(f16(f18(c50,c51),c52),c53)))
| ~ p7(c54,c55)
| p3(f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54),f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c55)) ),
inference(extension,[status(thm),parent(t40:2)],[p3_64]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t40:2]) ).
cnf(t44,plain,
p7(c54,c55),
inference(extension,[status(thm),parent(t42:2)],[p7_26]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t42:2]) ).
cnf(t46,plain,
p6(f10(c49,f13(f16(f18(c50,c51),c52),c53)),f10(c49,f13(f16(f18(c50,c51),c52),c53))),
inference(extension,[status(thm),parent(t42:3)],[p6_4]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t42:3]) ).
cnf(t48,plain,
( ~ p2(c48,c48)
| ~ p2(c48,c48)
| p2(c48,c48) ),
inference(extension,[status(thm),parent(t40:3)],[p2_46]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t40:3]) ).
cnf(t50,plain,
p2(c48,c48),
inference(extension,[status(thm),parent(t48:2)],[p2_20]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t48:2]) ).
cnf(t52,plain,
p2(c48,c48),
inference(extension,[status(thm),parent(t48:3)],[p2_20]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t48:3]) ).
cnf(t54,plain,
( ~ p7(c55,c55)
| ~ p7(c55,c55)
| p7(c55,c55) ),
inference(extension,[status(thm),parent(t38:3)],[p7_29]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t38:3]) ).
cnf(t56,plain,
( ~ p7(c54,c55)
| ~ p7(c54,c55)
| p7(c55,c55) ),
inference(extension,[status(thm),parent(t54:2)],[p7_29]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t54:2]) ).
cnf(t58,plain,
p7(c54,c55),
inference(extension,[status(thm),parent(t56:2)],[p7_26]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t56:2]) ).
cnf(t60,plain,
p7(c54,c55),
inference(extension,[status(thm),parent(t56:3)],[p7_26]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t56:3]) ).
cnf(t62,plain,
( ~ p7(c54,c55)
| ~ p7(c54,c55)
| p7(c55,c55) ),
inference(extension,[status(thm),parent(t54:3)],[p7_29]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t54:3]) ).
cnf(t64,plain,
p7(c54,c55),
inference(extension,[status(thm),parent(t62:2)],[p7_26]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t62:2]) ).
cnf(l31,lemma,
p7(c54,c55),
inference(lemma,[status(cth),parent(t62:2),below(t54:3)],[t62:2]) ).
cnf(t66,plain,
p7(c54,c55),
inference(lemma_extension,[status(thm),parent(t62:3)],[l31:1]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t62:3]) ).
cnf(t68,plain,
p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55),
inference(extension,[status(thm),parent(t38:4)],[p47_77]) ).
cnf(t69,plain,
$false,
inference(connection,[status(thm),parent(t68:1)],[t68:1,t38:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN704-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_HRN 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
% 0.08/0.36 % Computer : n001.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 07:12:41 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.55/0.86 % SZS status Unsatisfiable for theBenchmark
% 0.55/0.86 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------