%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN271-1 : TPTP v9.3.1. Released v1.1.0.
% 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 09:09:55 AM UTC 2026
% Result : Unsatisfiable 3.94s 24.24s
% Output : Proof 3.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 33
% Syntax : Number of clauses : 134 ( 85 unt; 0 nHn; 132 RR)
% Number of literals : 220 ( 0 equ; 88 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 48 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
s0(d),
file('SYN001-0.ax',axiom_1) ).
cnf(axiom_9,axiom,
r0(b),
file('SYN001-0.ax',axiom_9) ).
cnf(axiom_13,axiom,
r0(e),
file('SYN001-0.ax',axiom_13) ).
cnf(axiom_15,axiom,
n0(a,b),
file('SYN001-0.ax',axiom_15) ).
cnf(axiom_17,axiom,
q0(X,d),
file('SYN001-0.ax',axiom_17) ).
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_24,axiom,
l0(c),
file('SYN001-0.ax',axiom_24) ).
cnf(axiom_28,axiom,
k0(e),
file('SYN001-0.ax',axiom_28) ).
cnf(axiom_32,axiom,
k0(b),
file('SYN001-0.ax',axiom_32) ).
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_021,axiom,
( ~ k0(J)
| ~ l0(I)
| m1(I,J,I) ),
file('SYN001-0.ax',rule_021) ).
cnf(rule_032,axiom,
( ~ s0(F)
| m1(F,F,F) ),
file('SYN001-0.ax',rule_032) ).
cnf(rule_035,axiom,
( ~ l0(J)
| ~ r0(I)
| m1(I,J,I) ),
file('SYN001-0.ax',rule_035) ).
cnf(rule_117,axiom,
( ~ s0(d)
| ~ k0(e)
| q1(d,d,d) ),
file('SYN001-0.ax',rule_117) ).
cnf(rule_120,axiom,
( ~ r0(b)
| q1(b,b,b) ),
file('SYN001-0.ax',rule_120) ).
cnf(rule_122,axiom,
( ~ m0(G,H,G)
| q1(G,G,G) ),
file('SYN001-0.ax',rule_122) ).
cnf(rule_124,axiom,
( ~ q1(d,E,d)
| ~ s0(d)
| ~ q0(D,E)
| r1(D) ),
file('SYN001-0.ax',rule_124) ).
cnf(rule_127,axiom,
( ~ k2(F,D)
| ~ k1(F)
| ~ m1(E,D,C)
| k2(C,D) ),
file('SYN001-0.ax',rule_127) ).
cnf(rule_129,axiom,
( ~ q1(A,J,J)
| k2(J,J) ),
file('SYN001-0.ax',rule_129) ).
cnf(rule_135,axiom,
( ~ l1(G,H)
| ~ s0(F)
| m2(F) ),
file('SYN001-0.ax',rule_135) ).
cnf(rule_176,axiom,
( ~ m1(E,D,E)
| p2(D,E,D) ),
file('SYN001-0.ax',rule_176) ).
cnf(rule_188,axiom,
( ~ l0(G)
| ~ r1(G)
| r2(G) ),
file('SYN001-0.ax',rule_188) ).
cnf(rule_231,axiom,
( ~ k2(c,I)
| ~ r2(H)
| m3(H,I,H) ),
file('SYN001-0.ax',rule_231) ).
cnf(rule_240,axiom,
( ~ p2(E,F,D)
| n3(D) ),
file('SYN001-0.ax',rule_240) ).
cnf(rule_267,axiom,
( ~ p2(B,D,C)
| r3(B,C,B) ),
file('SYN001-0.ax',rule_267) ).
cnf(rule_268,axiom,
( ~ r3(I,A,A)
| ~ m3(J,b,H)
| ~ m2(I)
| r3(H,H,I) ),
file('SYN001-0.ax',rule_268) ).
cnf(rule_288,axiom,
( ~ p4(J,J,A)
| ~ r3(I,I,H)
| p4(H,I,I) ),
file('SYN001-0.ax',rule_288) ).
cnf(rule_294,axiom,
( ~ m3(B,c,a)
| ~ n3(a)
| p4(c,c,B) ),
file('SYN001-0.ax',rule_294) ).
cnf(prove_this,negated_conjecture,
~ p4(d,X,a),
file('theBenchmark.p',prove_this) ).
cnf(t1,plain,
~ p4(d,a,a),
inference(start,[status(thm),parent(0:0)],[prove_this]) ).
cnf(t2,plain,
( ~ r3(a,a,d)
| ~ p4(c,c,a)
| p4(d,a,a) ),
inference(extension,[status(thm),parent(t1:1)],[rule_288]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ n3(a)
| ~ m3(a,c,a)
| p4(c,c,a) ),
inference(extension,[status(thm),parent(t2:2)],[rule_294]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ r2(a)
| ~ k2(c,c)
| m3(a,c,a) ),
inference(extension,[status(thm),parent(t4:2)],[rule_231]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ q1(c,c,c)
| k2(c,c) ),
inference(extension,[status(thm),parent(t6:2)],[rule_129]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ m0(c,d,c)
| q1(c,c,c) ),
inference(extension,[status(thm),parent(t8:2)],[rule_122]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
m0(c,d,c),
inference(extension,[status(thm),parent(t10:2)],[axiom_19]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
( ~ r1(a)
| ~ l0(a)
| r2(a) ),
inference(extension,[status(thm),parent(t6:3)],[rule_188]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t6:3]) ).
cnf(t16,plain,
l0(a),
inference(extension,[status(thm),parent(t14:2)],[axiom_20]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
( ~ q0(a,d)
| ~ s0(d)
| ~ q1(d,d,d)
| r1(a) ),
inference(extension,[status(thm),parent(t14:3)],[rule_124]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t14:3]) ).
cnf(t20,plain,
( ~ k0(e)
| ~ s0(d)
| q1(d,d,d) ),
inference(extension,[status(thm),parent(t18:2)],[rule_117]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
s0(d),
inference(extension,[status(thm),parent(t20:2)],[axiom_1]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
k0(e),
inference(extension,[status(thm),parent(t20:3)],[axiom_28]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t20:3]) ).
cnf(t26,plain,
s0(d),
inference(extension,[status(thm),parent(t18:3)],[axiom_1]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t18:3]) ).
cnf(t28,plain,
q0(a,d),
inference(extension,[status(thm),parent(t18:4)],[axiom_17]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t18:4]) ).
cnf(t30,plain,
( ~ p2(a,e,a)
| n3(a) ),
inference(extension,[status(thm),parent(t4:3)],[rule_240]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t4:3]) ).
cnf(t32,plain,
( ~ m1(e,a,e)
| p2(a,e,a) ),
inference(extension,[status(thm),parent(t30:2)],[rule_176]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
( ~ r0(e)
| ~ l0(a)
| m1(e,a,e) ),
inference(extension,[status(thm),parent(t32:2)],[rule_035]) ).
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(t34:2)],[axiom_20]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).
cnf(t38,plain,
r0(e),
inference(extension,[status(thm),parent(t34:3)],[axiom_13]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t34:3]) ).
cnf(t40,plain,
( ~ m2(d)
| ~ m3(a,b,a)
| ~ r3(d,d,d)
| r3(a,a,d) ),
inference(extension,[status(thm),parent(t2:3)],[rule_268]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t2:3]) ).
cnf(t42,plain,
( ~ p2(d,d,d)
| r3(d,d,d) ),
inference(extension,[status(thm),parent(t40:2)],[rule_267]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t40:2]) ).
cnf(t44,plain,
( ~ m1(d,d,d)
| p2(d,d,d) ),
inference(extension,[status(thm),parent(t42:2)],[rule_176]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t42:2]) ).
cnf(t46,plain,
( ~ s0(d)
| m1(d,d,d) ),
inference(extension,[status(thm),parent(t44:2)],[rule_032]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t44:2]) ).
cnf(t48,plain,
s0(d),
inference(extension,[status(thm),parent(t46:2)],[axiom_1]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t46:2]) ).
cnf(t50,plain,
( ~ r2(a)
| ~ k2(c,b)
| m3(a,b,a) ),
inference(extension,[status(thm),parent(t40:3)],[rule_231]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t40:3]) ).
cnf(t52,plain,
( ~ m1(c,b,c)
| ~ k1(b)
| ~ k2(b,b)
| k2(c,b) ),
inference(extension,[status(thm),parent(t50:2)],[rule_127]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t50:2]) ).
cnf(t54,plain,
( ~ q1(b,b,b)
| k2(b,b) ),
inference(extension,[status(thm),parent(t52:2)],[rule_129]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t52:2]) ).
cnf(t56,plain,
( ~ r0(b)
| q1(b,b,b) ),
inference(extension,[status(thm),parent(t54:2)],[rule_120]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t54:2]) ).
cnf(t58,plain,
r0(b),
inference(extension,[status(thm),parent(t56:2)],[axiom_9]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t56:2]) ).
cnf(t60,plain,
( ~ n0(a,b)
| k1(b) ),
inference(extension,[status(thm),parent(t52:3)],[rule_001]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t52:3]) ).
cnf(t62,plain,
n0(a,b),
inference(extension,[status(thm),parent(t60:2)],[axiom_15]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t60:2]) ).
cnf(t64,plain,
( ~ l0(c)
| ~ k0(b)
| m1(c,b,c) ),
inference(extension,[status(thm),parent(t52:4)],[rule_021]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t52:4]) ).
cnf(t66,plain,
k0(b),
inference(extension,[status(thm),parent(t64:2)],[axiom_32]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t64:2]) ).
cnf(t68,plain,
l0(c),
inference(extension,[status(thm),parent(t64:3)],[axiom_24]) ).
cnf(t69,plain,
$false,
inference(connection,[status(thm),parent(t68:1)],[t68:1,t64:3]) ).
cnf(t70,plain,
( ~ r1(a)
| ~ l0(a)
| r2(a) ),
inference(extension,[status(thm),parent(t50:3)],[rule_188]) ).
cnf(t71,plain,
$false,
inference(connection,[status(thm),parent(t70:1)],[t70:1,t50:3]) ).
cnf(t72,plain,
l0(a),
inference(extension,[status(thm),parent(t70:2)],[axiom_20]) ).
cnf(t73,plain,
$false,
inference(connection,[status(thm),parent(t72:1)],[t72:1,t70:2]) ).
cnf(t74,plain,
( ~ q0(a,d)
| ~ s0(d)
| ~ q1(d,d,d)
| r1(a) ),
inference(extension,[status(thm),parent(t70:3)],[rule_124]) ).
cnf(t75,plain,
$false,
inference(connection,[status(thm),parent(t74:1)],[t74:1,t70:3]) ).
cnf(t76,plain,
( ~ k0(e)
| ~ s0(d)
| q1(d,d,d) ),
inference(extension,[status(thm),parent(t74:2)],[rule_117]) ).
cnf(t77,plain,
$false,
inference(connection,[status(thm),parent(t76:1)],[t76:1,t74:2]) ).
cnf(t78,plain,
s0(d),
inference(extension,[status(thm),parent(t76:2)],[axiom_1]) ).
cnf(t79,plain,
$false,
inference(connection,[status(thm),parent(t78:1)],[t78:1,t76:2]) ).
cnf(t80,plain,
k0(e),
inference(extension,[status(thm),parent(t76:3)],[axiom_28]) ).
cnf(t81,plain,
$false,
inference(connection,[status(thm),parent(t80:1)],[t80:1,t76:3]) ).
cnf(t82,plain,
s0(d),
inference(extension,[status(thm),parent(t74:3)],[axiom_1]) ).
cnf(t83,plain,
$false,
inference(connection,[status(thm),parent(t82:1)],[t82:1,t74:3]) ).
cnf(t84,plain,
q0(a,d),
inference(extension,[status(thm),parent(t74:4)],[axiom_17]) ).
cnf(t85,plain,
$false,
inference(connection,[status(thm),parent(t84:1)],[t84:1,t74:4]) ).
cnf(t86,plain,
( ~ s0(d)
| ~ l1(a,a)
| m2(d) ),
inference(extension,[status(thm),parent(t40:4)],[rule_135]) ).
cnf(t87,plain,
$false,
inference(connection,[status(thm),parent(t86:1)],[t86:1,t40:4]) ).
cnf(t88,plain,
( ~ k1(a)
| ~ l0(a)
| ~ l1(a,a)
| l1(a,a) ),
inference(extension,[status(thm),parent(t86:2)],[rule_004]) ).
cnf(t89,plain,
$false,
inference(connection,[status(thm),parent(t88:1)],[t88:1,t86:2]) ).
cnf(t90,plain,
( ~ n0(b,a)
| l1(a,a) ),
inference(extension,[status(thm),parent(t88:2)],[rule_002]) ).
cnf(t91,plain,
$false,
inference(connection,[status(thm),parent(t90:1)],[t90:1,t88:2]) ).
cnf(t92,plain,
n0(b,a),
inference(extension,[status(thm),parent(t90:2)],[axiom_37]) ).
cnf(t93,plain,
$false,
inference(connection,[status(thm),parent(t92:1)],[t92:1,t90:2]) ).
cnf(t94,plain,
l0(a),
inference(extension,[status(thm),parent(t88:3)],[axiom_20]) ).
cnf(t95,plain,
$false,
inference(connection,[status(thm),parent(t94:1)],[t94:1,t88:3]) ).
cnf(t96,plain,
( ~ n0(b,a)
| k1(a) ),
inference(extension,[status(thm),parent(t88:4)],[rule_001]) ).
cnf(t97,plain,
$false,
inference(connection,[status(thm),parent(t96:1)],[t96:1,t88:4]) ).
cnf(t98,plain,
n0(b,a),
inference(extension,[status(thm),parent(t96:2)],[axiom_37]) ).
cnf(t99,plain,
$false,
inference(connection,[status(thm),parent(t98:1)],[t98:1,t96:2]) ).
cnf(t100,plain,
s0(d),
inference(extension,[status(thm),parent(t86:3)],[axiom_1]) ).
cnf(t101,plain,
$false,
inference(connection,[status(thm),parent(t100:1)],[t100:1,t86:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN271-1 : 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/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/20.39 % Computer : n026.cluster.edu
% 0.09/20.39 % Model : x86_64 x86_64
% 0.09/20.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/20.39 % Memory : 8046.5625MB
% 0.09/20.39 % OS : Linux 6.8.0-71-generic
% 0.09/20.39 % CPULimit : 300
% 0.09/20.39 % WCLimit : 300
% 0.09/20.39 % DateTime : Sun Sep 20 06:30:57 UTC 2026
% 0.09/20.39 % CPUTime :
% 3.94/24.24 % SZS status Unsatisfiable for theBenchmark
% 3.94/24.24 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------