%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN205-1 : TPTP v9.3.1. Released v1.1.0.
% 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 : n007.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 09:09:45 AM UTC 2026
% Result : Unsatisfiable 0.31s 0.62s
% Output : Proof 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 24
% Syntax : Number of clauses : 105 ( 70 unt; 0 nHn; 103 RR)
% Number of literals : 175 ( 0 equ; 72 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 36 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_5,axiom,
s0(b),
file('SYN001-0.ax',axiom_5) ).
cnf(axiom_14,axiom,
p0(b,X),
file('SYN001-0.ax',axiom_14) ).
cnf(axiom_19,axiom,
m0(X,d,Y),
file('SYN001-0.ax',axiom_19) ).
cnf(axiom_20,axiom,
l0(a),
file('SYN001-0.ax',axiom_20) ).
cnf(axiom_21,axiom,
q0(b,e),
file('SYN001-0.ax',axiom_21) ).
cnf(axiom_32,axiom,
k0(b),
file('SYN001-0.ax',axiom_32) ).
cnf(axiom_36,axiom,
q0(a,b),
file('SYN001-0.ax',axiom_36) ).
cnf(axiom_37,axiom,
n0(b,a),
file('SYN001-0.ax',axiom_37) ).
cnf(rule_001,axiom,
( ~ n0(J,I)
| k1(I) ),
file('SYN001-0.ax',rule_001) ).
cnf(rule_002,axiom,
( ~ n0(H,G)
| l1(G,G) ),
file('SYN001-0.ax',rule_002) ).
cnf(rule_004,axiom,
( ~ l1(B,B)
| ~ l0(B)
| ~ k1(A)
| l1(A,A) ),
file('SYN001-0.ax',rule_004) ).
cnf(rule_050,axiom,
( ~ p0(b,E)
| ~ l0(D)
| ~ s0(b)
| n1(D,E,D) ),
file('SYN001-0.ax',rule_050) ).
cnf(rule_054,axiom,
( ~ n1(E,F,E)
| ~ l1(G,E)
| ~ l0(G)
| n1(E,F,F) ),
file('SYN001-0.ax',rule_054) ).
cnf(rule_061,axiom,
( ~ s0(G)
| ~ k0(G)
| n1(G,G,G) ),
file('SYN001-0.ax',rule_061) ).
cnf(rule_088,axiom,
( ~ l0(a)
| p1(a,a,a) ),
file('SYN001-0.ax',rule_088) ).
cnf(rule_091,axiom,
( ~ n1(D,C,G)
| ~ k1(F)
| ~ q0(D,E)
| p1(C,C,C) ),
file('SYN001-0.ax',rule_091) ).
cnf(rule_125,axiom,
( ~ p0(I,I)
| s1(I) ),
file('SYN001-0.ax',rule_125) ).
cnf(rule_126,axiom,
( ~ s1(H)
| ~ q0(F,G)
| s1(F) ),
file('SYN001-0.ax',rule_126) ).
cnf(rule_177,axiom,
( ~ p1(E,E,E)
| ~ k0(F)
| q2(E,F,F) ),
file('SYN001-0.ax',rule_177) ).
cnf(rule_182,axiom,
( ~ q2(G,H,F)
| ~ n1(G,F,H)
| ~ p1(F,F,H)
| q2(F,G,F) ),
file('SYN001-0.ax',rule_182) ).
cnf(rule_186,axiom,
( ~ l1(H,G)
| q2(G,G,H) ),
file('SYN001-0.ax',rule_186) ).
cnf(rule_189,axiom,
( ~ s1(b)
| ~ q2(b,H,b)
| s2(H) ),
file('SYN001-0.ax',rule_189) ).
cnf(rule_273,axiom,
( ~ m0(A,B,J)
| ~ s2(I)
| ~ q2(A,I,A)
| s3(I,J) ),
file('SYN001-0.ax',rule_273) ).
cnf(prove_this,negated_conjecture,
~ s3(a,d),
file('theBenchmark.p',prove_this) ).
cnf(t1,plain,
~ s3(a,d),
inference(start,[status(thm),parent(0:0)],[prove_this]) ).
cnf(t2,plain,
( ~ q2(a,a,a)
| ~ s2(a)
| ~ m0(a,d,d)
| s3(a,d) ),
inference(extension,[status(thm),parent(t1:1)],[rule_273]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
m0(a,d,d),
inference(extension,[status(thm),parent(t2:2)],[axiom_19]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ q2(b,a,b)
| ~ s1(b)
| s2(a) ),
inference(extension,[status(thm),parent(t2:3)],[rule_189]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
( ~ q0(b,e)
| ~ s1(a)
| s1(b) ),
inference(extension,[status(thm),parent(t6:2)],[rule_126]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ q0(a,b)
| ~ s1(b)
| s1(a) ),
inference(extension,[status(thm),parent(t8:2)],[rule_126]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( ~ p0(b,b)
| s1(b) ),
inference(extension,[status(thm),parent(t10:2)],[rule_125]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
p0(b,b),
inference(extension,[status(thm),parent(t12:2)],[axiom_14]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
q0(a,b),
inference(extension,[status(thm),parent(t10:3)],[axiom_36]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t10:3]) ).
cnf(t18,plain,
q0(b,e),
inference(extension,[status(thm),parent(t8:3)],[axiom_21]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t8:3]) ).
cnf(t20,plain,
( ~ p1(b,b,b)
| ~ n1(a,b,b)
| ~ q2(a,b,b)
| q2(b,a,b) ),
inference(extension,[status(thm),parent(t6:3)],[rule_182]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t6:3]) ).
cnf(t22,plain,
( ~ k0(b)
| ~ p1(a,a,a)
| q2(a,b,b) ),
inference(extension,[status(thm),parent(t20:2)],[rule_177]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
( ~ l0(a)
| p1(a,a,a) ),
inference(extension,[status(thm),parent(t22:2)],[rule_088]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
l0(a),
inference(extension,[status(thm),parent(t24:2)],[axiom_20]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
k0(b),
inference(extension,[status(thm),parent(t22:3)],[axiom_32]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t22:3]) ).
cnf(t30,plain,
( ~ l0(a)
| ~ l1(a,a)
| ~ n1(a,b,a)
| n1(a,b,b) ),
inference(extension,[status(thm),parent(t20:3)],[rule_054]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t20:3]) ).
cnf(t32,plain,
( ~ s0(b)
| ~ l0(a)
| ~ p0(b,b)
| n1(a,b,a) ),
inference(extension,[status(thm),parent(t30:2)],[rule_050]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
p0(b,b),
inference(extension,[status(thm),parent(t32:2)],[axiom_14]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(t36,plain,
l0(a),
inference(extension,[status(thm),parent(t32:3)],[axiom_20]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t32:3]) ).
cnf(t38,plain,
s0(b),
inference(extension,[status(thm),parent(t32:4)],[axiom_5]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t32:4]) ).
cnf(t40,plain,
( ~ n0(b,a)
| l1(a,a) ),
inference(extension,[status(thm),parent(t30:3)],[rule_002]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t30:3]) ).
cnf(t42,plain,
n0(b,a),
inference(extension,[status(thm),parent(t40:2)],[axiom_37]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t40:2]) ).
cnf(t44,plain,
l0(a),
inference(extension,[status(thm),parent(t30:4)],[axiom_20]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t30:4]) ).
cnf(t46,plain,
( ~ q0(b,e)
| ~ k1(a)
| ~ n1(b,b,b)
| p1(b,b,b) ),
inference(extension,[status(thm),parent(t20:4)],[rule_091]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t20:4]) ).
cnf(t48,plain,
( ~ k0(b)
| ~ s0(b)
| n1(b,b,b) ),
inference(extension,[status(thm),parent(t46:2)],[rule_061]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t46:2]) ).
cnf(t50,plain,
s0(b),
inference(extension,[status(thm),parent(t48:2)],[axiom_5]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t48:2]) ).
cnf(t52,plain,
k0(b),
inference(extension,[status(thm),parent(t48:3)],[axiom_32]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t48:3]) ).
cnf(t54,plain,
( ~ n0(b,a)
| k1(a) ),
inference(extension,[status(thm),parent(t46:3)],[rule_001]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t46:3]) ).
cnf(t56,plain,
n0(b,a),
inference(extension,[status(thm),parent(t54:2)],[axiom_37]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t54:2]) ).
cnf(t58,plain,
q0(b,e),
inference(extension,[status(thm),parent(t46:4)],[axiom_21]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t46:4]) ).
cnf(t60,plain,
( ~ l1(a,a)
| q2(a,a,a) ),
inference(extension,[status(thm),parent(t2:4)],[rule_186]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t2:4]) ).
cnf(t62,plain,
( ~ k1(a)
| ~ l0(a)
| ~ l1(a,a)
| l1(a,a) ),
inference(extension,[status(thm),parent(t60:2)],[rule_004]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t60:2]) ).
cnf(t64,plain,
( ~ k1(a)
| ~ l0(a)
| ~ l1(a,a)
| l1(a,a) ),
inference(extension,[status(thm),parent(t62:2)],[rule_004]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t62:2]) ).
cnf(t66,plain,
( ~ n0(b,a)
| l1(a,a) ),
inference(extension,[status(thm),parent(t64:2)],[rule_002]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t64:2]) ).
cnf(t68,plain,
n0(b,a),
inference(extension,[status(thm),parent(t66:2)],[axiom_37]) ).
cnf(t69,plain,
$false,
inference(connection,[status(thm),parent(t68:1)],[t68:1,t66:2]) ).
cnf(t70,plain,
l0(a),
inference(extension,[status(thm),parent(t64:3)],[axiom_20]) ).
cnf(t71,plain,
$false,
inference(connection,[status(thm),parent(t70:1)],[t70:1,t64:3]) ).
cnf(t72,plain,
( ~ n0(b,a)
| k1(a) ),
inference(extension,[status(thm),parent(t64:4)],[rule_001]) ).
cnf(t73,plain,
$false,
inference(connection,[status(thm),parent(t72:1)],[t72:1,t64:4]) ).
cnf(t74,plain,
n0(b,a),
inference(extension,[status(thm),parent(t72:2)],[axiom_37]) ).
cnf(t75,plain,
$false,
inference(connection,[status(thm),parent(t74:1)],[t74:1,t72:2]) ).
cnf(t76,plain,
l0(a),
inference(extension,[status(thm),parent(t62:3)],[axiom_20]) ).
cnf(t77,plain,
$false,
inference(connection,[status(thm),parent(t76:1)],[t76:1,t62:3]) ).
cnf(t78,plain,
( ~ n0(b,a)
| k1(a) ),
inference(extension,[status(thm),parent(t62:4)],[rule_001]) ).
cnf(t79,plain,
$false,
inference(connection,[status(thm),parent(t78:1)],[t78:1,t62:4]) ).
cnf(t80,plain,
n0(b,a),
inference(extension,[status(thm),parent(t78:2)],[axiom_37]) ).
cnf(t81,plain,
$false,
inference(connection,[status(thm),parent(t80:1)],[t80:1,t78:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN205-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 This is a CNF_UNS_EPR_NEQ_HRN 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
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 06:25:19 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.31/0.62 % SZS status Unsatisfiable for theBenchmark
% 0.31/0.62 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------