%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN144-1 : 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 : n012.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 09:09:36 AM UTC 2026
% Result : Unsatisfiable 0.82s 6.71s
% Output : Proof 0.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 29
% Syntax : Number of clauses : 99 ( 62 unt; 0 nHn; 97 RR)
% Number of literals : 164 ( 0 equ; 67 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 32 ( 11 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_28,axiom,
k0(e),
file('SYN001-0.ax',axiom_28) ).
cnf(axiom_36,axiom,
q0(a,b),
file('SYN001-0.ax',axiom_36) ).
cnf(axiom_38,axiom,
m0(b,a,a),
file('SYN001-0.ax',axiom_38) ).
cnf(rule_001,axiom,
( ~ n0(J,I)
| k1(I) ),
file('SYN001-0.ax',rule_001) ).
cnf(rule_023,axiom,
( ~ s0(d)
| ~ l0(a)
| m1(a,a,a) ),
file('SYN001-0.ax',rule_023) ).
cnf(rule_090,axiom,
( ~ k0(e)
| ~ r0(e)
| p1(e,e,e) ),
file('SYN001-0.ax',rule_090) ).
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_129,axiom,
( ~ q1(A,J,J)
| k2(J,J) ),
file('SYN001-0.ax',rule_129) ).
cnf(rule_136,axiom,
( ~ k1(b)
| m2(b) ),
file('SYN001-0.ax',rule_136) ).
cnf(rule_176,axiom,
( ~ m1(E,D,E)
| p2(D,E,D) ),
file('SYN001-0.ax',rule_176) ).
cnf(rule_181,axiom,
( ~ p1(I,I,I)
| q2(I,I,I) ),
file('SYN001-0.ax',rule_181) ).
cnf(rule_187,axiom,
( ~ q2(D,D,D)
| ~ k0(D)
| ~ m0(E,F,C)
| ~ r1(D)
| q2(C,D,C) ),
file('SYN001-0.ax',rule_187) ).
cnf(rule_238,axiom,
( ~ p2(I,I,I)
| m3(I,I,I) ),
file('SYN001-0.ax',rule_238) ).
cnf(rule_252,axiom,
( ~ k2(J,J)
| ~ q0(I,H)
| p3(H,H,H) ),
file('SYN001-0.ax',rule_252) ).
cnf(rule_269,axiom,
( ~ m3(a,G,G)
| ~ m2(b)
| ~ q2(G,e,G)
| ~ k2(a,a)
| r3(a,a,e) ),
file('SYN001-0.ax',rule_269) ).
cnf(rule_288,axiom,
( ~ p4(J,J,A)
| ~ r3(I,I,H)
| p4(H,I,I) ),
file('SYN001-0.ax',rule_288) ).
cnf(rule_291,axiom,
( ~ p3(J,J,I)
| p4(I,I,I) ),
file('SYN001-0.ax',rule_291) ).
cnf(rule_303,axiom,
( ~ p4(D,F,E)
| ~ r0(D)
| m5(D,E) ),
file('SYN001-0.ax',rule_303) ).
cnf(prove_this,negated_conjecture,
~ m5(e,a),
file('theBenchmark.p',prove_this) ).
cnf(t1,plain,
~ m5(e,a),
inference(start,[status(thm),parent(0:0)],[prove_this]) ).
cnf(t2,plain,
( ~ r0(e)
| ~ p4(e,a,a)
| m5(e,a) ),
inference(extension,[status(thm),parent(t1:1)],[rule_303]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ r3(a,a,e)
| ~ p4(b,b,b)
| p4(e,a,a) ),
inference(extension,[status(thm),parent(t2:2)],[rule_288]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ p3(b,b,b)
| p4(b,b,b) ),
inference(extension,[status(thm),parent(t4:2)],[rule_291]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ q0(a,b)
| ~ k2(b,b)
| p3(b,b,b) ),
inference(extension,[status(thm),parent(t6:2)],[rule_252]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ q1(b,b,b)
| k2(b,b) ),
inference(extension,[status(thm),parent(t8:2)],[rule_129]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( ~ r0(b)
| q1(b,b,b) ),
inference(extension,[status(thm),parent(t10:2)],[rule_120]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
r0(b),
inference(extension,[status(thm),parent(t12:2)],[axiom_9]) ).
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(t8:3)],[axiom_36]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t8:3]) ).
cnf(t18,plain,
( ~ k2(a,a)
| ~ q2(a,e,a)
| ~ m2(b)
| ~ m3(a,a,a)
| r3(a,a,e) ),
inference(extension,[status(thm),parent(t4:3)],[rule_269]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t4:3]) ).
cnf(t20,plain,
( ~ p2(a,a,a)
| m3(a,a,a) ),
inference(extension,[status(thm),parent(t18:2)],[rule_238]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
( ~ m1(a,a,a)
| p2(a,a,a) ),
inference(extension,[status(thm),parent(t20:2)],[rule_176]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
( ~ l0(a)
| ~ s0(d)
| m1(a,a,a) ),
inference(extension,[status(thm),parent(t22:2)],[rule_023]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
s0(d),
inference(extension,[status(thm),parent(t24:2)],[axiom_1]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
l0(a),
inference(extension,[status(thm),parent(t24:3)],[axiom_20]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t24:3]) ).
cnf(t30,plain,
( ~ k1(b)
| m2(b) ),
inference(extension,[status(thm),parent(t18:3)],[rule_136]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t18:3]) ).
cnf(t32,plain,
( ~ n0(a,b)
| k1(b) ),
inference(extension,[status(thm),parent(t30:2)],[rule_001]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
n0(a,b),
inference(extension,[status(thm),parent(t32:2)],[axiom_15]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(t36,plain,
( ~ r1(e)
| ~ m0(b,a,a)
| ~ k0(e)
| ~ q2(e,e,e)
| q2(a,e,a) ),
inference(extension,[status(thm),parent(t18:4)],[rule_187]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t18:4]) ).
cnf(t38,plain,
( ~ p1(e,e,e)
| q2(e,e,e) ),
inference(extension,[status(thm),parent(t36:2)],[rule_181]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).
cnf(t40,plain,
( ~ r0(e)
| ~ k0(e)
| p1(e,e,e) ),
inference(extension,[status(thm),parent(t38:2)],[rule_090]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t38:2]) ).
cnf(t42,plain,
k0(e),
inference(extension,[status(thm),parent(t40:2)],[axiom_28]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t40:2]) ).
cnf(t44,plain,
r0(e),
inference(extension,[status(thm),parent(t40:3)],[axiom_13]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t40:3]) ).
cnf(t46,plain,
k0(e),
inference(extension,[status(thm),parent(t36:3)],[axiom_28]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t36:3]) ).
cnf(l23,lemma,
k0(e),
inference(lemma,[status(cth),parent(t36:3),below(t18:4)],[t36:3]) ).
cnf(t48,plain,
m0(b,a,a),
inference(extension,[status(thm),parent(t36:4)],[axiom_38]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t36:4]) ).
cnf(t50,plain,
( ~ q0(e,d)
| ~ s0(d)
| ~ q1(d,d,d)
| r1(e) ),
inference(extension,[status(thm),parent(t36:5)],[rule_124]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t36:5]) ).
cnf(t52,plain,
( ~ k0(e)
| ~ s0(d)
| q1(d,d,d) ),
inference(extension,[status(thm),parent(t50:2)],[rule_117]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t50:2]) ).
cnf(t54,plain,
s0(d),
inference(extension,[status(thm),parent(t52:2)],[axiom_1]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t52:2]) ).
cnf(t56,plain,
k0(e),
inference(lemma_extension,[status(thm),parent(t52:3)],[l23:1]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t52:3]) ).
cnf(t58,plain,
s0(d),
inference(extension,[status(thm),parent(t50:3)],[axiom_1]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t50:3]) ).
cnf(t60,plain,
q0(e,d),
inference(extension,[status(thm),parent(t50:4)],[axiom_17]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t50:4]) ).
cnf(t62,plain,
( ~ q1(a,a,a)
| k2(a,a) ),
inference(extension,[status(thm),parent(t18:5)],[rule_129]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t18:5]) ).
cnf(t64,plain,
( ~ m0(a,d,a)
| q1(a,a,a) ),
inference(extension,[status(thm),parent(t62:2)],[rule_122]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t62:2]) ).
cnf(t66,plain,
m0(a,d,a),
inference(extension,[status(thm),parent(t64:2)],[axiom_19]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t64:2]) ).
cnf(t68,plain,
r0(e),
inference(extension,[status(thm),parent(t2:3)],[axiom_13]) ).
cnf(t69,plain,
$false,
inference(connection,[status(thm),parent(t68:1)],[t68:1,t2:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN144-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.02 This is a CNF_UNS_EPR_NEQ_HRN problem
% 0.00/0.02 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.05/5.94 % Computer : n012.cluster.edu
% 0.05/5.94 % Model : x86_64 x86_64
% 0.05/5.94 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/5.94 % Memory : 8046.5625MB
% 0.05/5.94 % OS : Linux 6.8.0-71-generic
% 0.05/5.94 % CPULimit : 300
% 0.05/5.94 % WCLimit : 300
% 0.05/5.94 % DateTime : Sun Sep 20 06:26:31 UTC 2026
% 0.05/5.94 % CPUTime :
% 0.82/6.71 % SZS status Unsatisfiable for theBenchmark
% 0.82/6.71 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------