%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN574-1 : 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 : n005.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 09:10:37 AM UTC 2026
% Result : Unsatisfiable 0.36s 0.67s
% Output : Proof 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 13
% Syntax : Number of clauses : 82 ( 60 unt; 2 nHn; 78 RR)
% Number of literals : 132 ( 0 equ; 50 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p7_2,negated_conjecture,
p7(X21,X21),
file('theBenchmark.p',p7_2) ).
cnf(p3_3,negated_conjecture,
p3(X12,X12),
file('theBenchmark.p',p3_3) ).
cnf(p2_4,negated_conjecture,
p2(X7,X7),
file('theBenchmark.p',p2_4) ).
cnf(p9_5,negated_conjecture,
p9(c12,c13),
file('theBenchmark.p',p9_5) ).
cnf(p11_6,negated_conjecture,
p11(c14,c15),
file('theBenchmark.p',p11_6) ).
cnf(p3_7,negated_conjecture,
p3(f4(f5(X17)),f4(X17)),
file('theBenchmark.p',p3_7) ).
cnf(p9_10,negated_conjecture,
( ~ p9(X32,c13)
| p9(X32,f4(c14)) ),
file('theBenchmark.p',p9_10) ).
cnf(p2_11,negated_conjecture,
( ~ p2(X10,X11)
| p2(f5(X10),f5(X11)) ),
file('theBenchmark.p',p2_11) ).
cnf(p7_15,negated_conjecture,
( ~ p7(X21,X23)
| ~ p7(X21,X22)
| p7(X22,X23) ),
file('theBenchmark.p',p7_15) ).
cnf(p3_16,negated_conjecture,
( ~ p3(X12,X14)
| ~ p3(X12,X13)
| p3(X13,X14) ),
file('theBenchmark.p',p3_16) ).
cnf(p9_19,negated_conjecture,
( ~ p3(X30,X29)
| ~ p9(X31,X30)
| ~ p7(X31,X28)
| p9(X28,X29) ),
file('theBenchmark.p',p9_19) ).
cnf(p9_21,negated_conjecture,
( ~ p2(X34,f5(X35))
| ~ p9(c12,X33)
| ~ p11(X35,c15)
| p9(f8(X33,X34),f4(X34))
| p9(f8(X33,X34),X33) ),
file('theBenchmark.p',p9_21) ).
cnf(not_p11_22,negated_conjecture,
( ~ p9(f8(X33,X34),f4(X34))
| ~ p9(f8(X33,X34),X33)
| ~ p2(X34,f5(X35))
| ~ p9(c12,X33)
| ~ p11(X35,c15) ),
file('theBenchmark.p',not_p11_22) ).
cnf(t1,plain,
( ~ p9(c12,f4(f5(c14)))
| ~ p2(f5(c14),f5(c14))
| ~ p9(f8(f4(f5(c14)),f5(c14)),f4(f5(c14)))
| ~ p9(f8(f4(f5(c14)),f5(c14)),f4(f5(c14)))
| ~ p11(c14,c15) ),
inference(start,[status(thm),parent(0:0)],[not_p11_22]) ).
cnf(t2,plain,
p11(c14,c15),
inference(extension,[status(thm),parent(t1:1)],[p11_6]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ p2(f5(c14),f5(c14))
| ~ p11(c14,c15)
| ~ p9(c12,f4(f5(c14)))
| p9(f8(f4(f5(c14)),f5(c14)),f4(f5(c14)))
| p9(f8(f4(f5(c14)),f5(c14)),f4(f5(c14))) ),
inference(extension,[status(thm),parent(t1:2)],[p9_21]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t1:2]) ).
cnf(t6,plain,
$false,
inference(reduction,[status(thm),parent(t4:2)],[t4:2,t1:2]) ).
cnf(t7,plain,
( ~ p7(c12,c12)
| ~ p9(c12,f4(c14))
| ~ p3(f4(c14),f4(f5(c14)))
| p9(c12,f4(f5(c14))) ),
inference(extension,[status(thm),parent(t4:3)],[p9_19]) ).
cnf(t8,plain,
$false,
inference(connection,[status(thm),parent(t7:1)],[t7:1,t4:3]) ).
cnf(t9,plain,
( ~ p3(f4(f5(c14)),f4(c14))
| ~ p3(f4(f5(c14)),f4(f5(c14)))
| p3(f4(c14),f4(f5(c14))) ),
inference(extension,[status(thm),parent(t7:2)],[p3_16]) ).
cnf(t10,plain,
$false,
inference(connection,[status(thm),parent(t9:1)],[t9:1,t7:2]) ).
cnf(t11,plain,
p3(f4(f5(c14)),f4(f5(c14))),
inference(extension,[status(thm),parent(t9:2)],[p3_3]) ).
cnf(t12,plain,
$false,
inference(connection,[status(thm),parent(t11:1)],[t11:1,t9:2]) ).
cnf(t13,plain,
p3(f4(f5(c14)),f4(c14)),
inference(extension,[status(thm),parent(t9:3)],[p3_7]) ).
cnf(t14,plain,
$false,
inference(connection,[status(thm),parent(t13:1)],[t13:1,t9:3]) ).
cnf(t15,plain,
( ~ p9(c12,c13)
| p9(c12,f4(c14)) ),
inference(extension,[status(thm),parent(t7:3)],[p9_10]) ).
cnf(t16,plain,
$false,
inference(connection,[status(thm),parent(t15:1)],[t15:1,t7:3]) ).
cnf(t17,plain,
p9(c12,c13),
inference(extension,[status(thm),parent(t15:2)],[p9_5]) ).
cnf(t18,plain,
$false,
inference(connection,[status(thm),parent(t17:1)],[t17:1,t15:2]) ).
cnf(t19,plain,
p7(c12,c12),
inference(extension,[status(thm),parent(t7:4)],[p7_2]) ).
cnf(t20,plain,
$false,
inference(connection,[status(thm),parent(t19:1)],[t19:1,t7:4]) ).
cnf(t21,plain,
p11(c14,c15),
inference(extension,[status(thm),parent(t4:4)],[p11_6]) ).
cnf(t22,plain,
$false,
inference(connection,[status(thm),parent(t21:1)],[t21:1,t4:4]) ).
cnf(t23,plain,
( ~ p2(c14,c14)
| p2(f5(c14),f5(c14)) ),
inference(extension,[status(thm),parent(t4:5)],[p2_11]) ).
cnf(t24,plain,
$false,
inference(connection,[status(thm),parent(t23:1)],[t23:1,t4:5]) ).
cnf(t25,plain,
p2(c14,c14),
inference(extension,[status(thm),parent(t23:2)],[p2_4]) ).
cnf(t26,plain,
$false,
inference(connection,[status(thm),parent(t25:1)],[t25:1,t23:2]) ).
cnf(l2,lemma,
p9(f8(f4(f5(c14)),f5(c14)),f4(f5(c14))),
inference(lemma,[status(cth),parent(t1:2),below(0:0)],[t1:2]) ).
cnf(t27,plain,
p9(f8(f4(f5(c14)),f5(c14)),f4(f5(c14))),
inference(lemma_extension,[status(thm),parent(t1:3)],[l2:1]) ).
cnf(t28,plain,
$false,
inference(connection,[status(thm),parent(t27:1)],[t27:1,t1:3]) ).
cnf(t29,plain,
( ~ p2(c14,c14)
| p2(f5(c14),f5(c14)) ),
inference(extension,[status(thm),parent(t1:4)],[p2_11]) ).
cnf(t30,plain,
$false,
inference(connection,[status(thm),parent(t29:1)],[t29:1,t1:4]) ).
cnf(t31,plain,
p2(c14,c14),
inference(extension,[status(thm),parent(t29:2)],[p2_4]) ).
cnf(t32,plain,
$false,
inference(connection,[status(thm),parent(t31:1)],[t31:1,t29:2]) ).
cnf(t33,plain,
( ~ p7(c12,c12)
| ~ p9(c12,f4(f5(c14)))
| ~ p3(f4(f5(c14)),f4(f5(c14)))
| p9(c12,f4(f5(c14))) ),
inference(extension,[status(thm),parent(t1:5)],[p9_19]) ).
cnf(t34,plain,
$false,
inference(connection,[status(thm),parent(t33:1)],[t33:1,t1:5]) ).
cnf(t35,plain,
( ~ p3(f4(f5(c14)),f4(f5(c14)))
| ~ p3(f4(f5(c14)),f4(f5(c14)))
| p3(f4(f5(c14)),f4(f5(c14))) ),
inference(extension,[status(thm),parent(t33:2)],[p3_16]) ).
cnf(t36,plain,
$false,
inference(connection,[status(thm),parent(t35:1)],[t35:1,t33:2]) ).
cnf(t37,plain,
( ~ p3(f4(f5(f5(c14))),f4(f5(c14)))
| ~ p3(f4(f5(f5(c14))),f4(f5(c14)))
| p3(f4(f5(c14)),f4(f5(c14))) ),
inference(extension,[status(thm),parent(t35:2)],[p3_16]) ).
cnf(t38,plain,
$false,
inference(connection,[status(thm),parent(t37:1)],[t37:1,t35:2]) ).
cnf(t39,plain,
p3(f4(f5(f5(c14))),f4(f5(c14))),
inference(extension,[status(thm),parent(t37:2)],[p3_7]) ).
cnf(t40,plain,
$false,
inference(connection,[status(thm),parent(t39:1)],[t39:1,t37:2]) ).
cnf(t41,plain,
p3(f4(f5(f5(c14))),f4(f5(c14))),
inference(extension,[status(thm),parent(t37:3)],[p3_7]) ).
cnf(t42,plain,
$false,
inference(connection,[status(thm),parent(t41:1)],[t41:1,t37:3]) ).
cnf(t43,plain,
( ~ p3(f4(f5(f5(c14))),f4(f5(c14)))
| ~ p3(f4(f5(f5(c14))),f4(f5(c14)))
| p3(f4(f5(c14)),f4(f5(c14))) ),
inference(extension,[status(thm),parent(t35:3)],[p3_16]) ).
cnf(t44,plain,
$false,
inference(connection,[status(thm),parent(t43:1)],[t43:1,t35:3]) ).
cnf(t45,plain,
p3(f4(f5(f5(c14))),f4(f5(c14))),
inference(extension,[status(thm),parent(t43:2)],[p3_7]) ).
cnf(t46,plain,
$false,
inference(connection,[status(thm),parent(t45:1)],[t45:1,t43:2]) ).
cnf(t47,plain,
p3(f4(f5(f5(c14))),f4(f5(c14))),
inference(extension,[status(thm),parent(t43:3)],[p3_7]) ).
cnf(t48,plain,
$false,
inference(connection,[status(thm),parent(t47:1)],[t47:1,t43:3]) ).
cnf(t49,plain,
( ~ p7(c12,c12)
| ~ p9(c12,f4(c14))
| ~ p3(f4(c14),f4(f5(c14)))
| p9(c12,f4(f5(c14))) ),
inference(extension,[status(thm),parent(t33:3)],[p9_19]) ).
cnf(t50,plain,
$false,
inference(connection,[status(thm),parent(t49:1)],[t49:1,t33:3]) ).
cnf(t51,plain,
( ~ p3(f4(f5(c14)),f4(c14))
| ~ p3(f4(f5(c14)),f4(f5(c14)))
| p3(f4(c14),f4(f5(c14))) ),
inference(extension,[status(thm),parent(t49:2)],[p3_16]) ).
cnf(t52,plain,
$false,
inference(connection,[status(thm),parent(t51:1)],[t51:1,t49:2]) ).
cnf(t53,plain,
p3(f4(f5(c14)),f4(f5(c14))),
inference(extension,[status(thm),parent(t51:2)],[p3_3]) ).
cnf(t54,plain,
$false,
inference(connection,[status(thm),parent(t53:1)],[t53:1,t51:2]) ).
cnf(t55,plain,
p3(f4(f5(c14)),f4(c14)),
inference(extension,[status(thm),parent(t51:3)],[p3_7]) ).
cnf(t56,plain,
$false,
inference(connection,[status(thm),parent(t55:1)],[t55:1,t51:3]) ).
cnf(t57,plain,
( ~ p9(c12,c13)
| p9(c12,f4(c14)) ),
inference(extension,[status(thm),parent(t49:3)],[p9_10]) ).
cnf(t58,plain,
$false,
inference(connection,[status(thm),parent(t57:1)],[t57:1,t49:3]) ).
cnf(t59,plain,
p9(c12,c13),
inference(extension,[status(thm),parent(t57:2)],[p9_5]) ).
cnf(t60,plain,
$false,
inference(connection,[status(thm),parent(t59:1)],[t59:1,t57:2]) ).
cnf(t61,plain,
( ~ p7(c12,c12)
| ~ p7(c12,c12)
| p7(c12,c12) ),
inference(extension,[status(thm),parent(t49:4)],[p7_15]) ).
cnf(t62,plain,
$false,
inference(connection,[status(thm),parent(t61:1)],[t61:1,t49:4]) ).
cnf(t63,plain,
p7(c12,c12),
inference(extension,[status(thm),parent(t61:2)],[p7_2]) ).
cnf(t64,plain,
$false,
inference(connection,[status(thm),parent(t63:1)],[t63:1,t61:2]) ).
cnf(t65,plain,
p7(c12,c12),
inference(extension,[status(thm),parent(t61:3)],[p7_2]) ).
cnf(t66,plain,
$false,
inference(connection,[status(thm),parent(t65:1)],[t65:1,t61:3]) ).
cnf(t67,plain,
p7(c12,c12),
inference(extension,[status(thm),parent(t33:4)],[p7_2]) ).
cnf(t68,plain,
$false,
inference(connection,[status(thm),parent(t67:1)],[t67:1,t33:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN574-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.39 % Computer : n005.cluster.edu
% 0.09/0.39 % Model : x86_64 x86_64
% 0.09/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39 % Memory : 8046.5625MB
% 0.09/0.39 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Sun Sep 20 07:05:03 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.36/0.67 % SZS status Unsatisfiable for theBenchmark
% 0.36/0.67 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------