%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN266-1 : 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 : n016.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 09:09:54 AM UTC 2026
% Result : Unsatisfiable 0.78s 1.05s
% Output : Proof 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 19
% Syntax : Number of clauses : 66 ( 41 unt; 0 nHn; 65 RR)
% Number of literals : 109 ( 0 equ; 45 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 22 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
s0(d),
file('SYN001-0.ax',axiom_1) ).
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_18,axiom,
p0(c,b),
file('SYN001-0.ax',axiom_18) ).
cnf(axiom_28,axiom,
k0(e),
file('SYN001-0.ax',axiom_28) ).
cnf(rule_001,axiom,
( ~ n0(J,I)
| k1(I) ),
file('SYN001-0.ax',rule_001) ).
cnf(rule_007,axiom,
( ~ r0(G)
| ~ p0(I,H)
| m1(G,H,G) ),
file('SYN001-0.ax',rule_007) ).
cnf(rule_030,axiom,
( ~ r0(e)
| m1(e,e,e) ),
file('SYN001-0.ax',rule_030) ).
cnf(rule_085,axiom,
( ~ p0(C,B)
| p1(B,B,B) ),
file('SYN001-0.ax',rule_085) ).
cnf(rule_117,axiom,
( ~ s0(d)
| ~ k0(e)
| q1(d,d,d) ),
file('SYN001-0.ax',rule_117) ).
cnf(rule_124,axiom,
( ~ q1(d,E,d)
| ~ s0(d)
| ~ q0(D,E)
| r1(D) ),
file('SYN001-0.ax',rule_124) ).
cnf(rule_136,axiom,
( ~ k1(b)
| m2(b) ),
file('SYN001-0.ax',rule_136) ).
cnf(rule_140,axiom,
( ~ p1(b,I,J)
| ~ r0(e)
| ~ r1(b)
| n2(e) ),
file('SYN001-0.ax',rule_140) ).
cnf(rule_176,axiom,
( ~ m1(E,D,E)
| p2(D,E,D) ),
file('SYN001-0.ax',rule_176) ).
cnf(rule_228,axiom,
( ~ m3(B,J,B)
| ~ m2(A)
| ~ n2(J)
| m3(J,A,A) ),
file('SYN001-0.ax',rule_228) ).
cnf(rule_238,axiom,
( ~ p2(I,I,I)
| m3(I,I,I) ),
file('SYN001-0.ax',rule_238) ).
cnf(rule_251,axiom,
( ~ p2(A,B,D)
| ~ m3(B,C,D)
| p3(A,B,B) ),
file('SYN001-0.ax',rule_251) ).
cnf(prove_this,negated_conjecture,
~ p3(b,e,e),
file('theBenchmark.p',prove_this) ).
cnf(t1,plain,
~ p3(b,e,e),
inference(start,[status(thm),parent(0:0)],[prove_this]) ).
cnf(t2,plain,
( ~ m3(e,b,b)
| ~ p2(b,e,b)
| p3(b,e,e) ),
inference(extension,[status(thm),parent(t1:1)],[rule_251]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ m1(e,b,e)
| p2(b,e,b) ),
inference(extension,[status(thm),parent(t2:2)],[rule_176]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ p0(c,b)
| ~ r0(e)
| m1(e,b,e) ),
inference(extension,[status(thm),parent(t4:2)],[rule_007]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
r0(e),
inference(extension,[status(thm),parent(t6:2)],[axiom_13]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
p0(c,b),
inference(extension,[status(thm),parent(t6:3)],[axiom_18]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).
cnf(t12,plain,
( ~ n2(e)
| ~ m2(b)
| ~ m3(e,e,e)
| m3(e,b,b) ),
inference(extension,[status(thm),parent(t2:3)],[rule_228]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t2:3]) ).
cnf(t14,plain,
( ~ p2(e,e,e)
| m3(e,e,e) ),
inference(extension,[status(thm),parent(t12:2)],[rule_238]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
( ~ m1(e,e,e)
| p2(e,e,e) ),
inference(extension,[status(thm),parent(t14:2)],[rule_176]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
( ~ r0(e)
| m1(e,e,e) ),
inference(extension,[status(thm),parent(t16:2)],[rule_030]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
r0(e),
inference(extension,[status(thm),parent(t18:2)],[axiom_13]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
( ~ k1(b)
| m2(b) ),
inference(extension,[status(thm),parent(t12:3)],[rule_136]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t12:3]) ).
cnf(t24,plain,
( ~ n0(a,b)
| k1(b) ),
inference(extension,[status(thm),parent(t22:2)],[rule_001]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
n0(a,b),
inference(extension,[status(thm),parent(t24:2)],[axiom_15]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
( ~ r1(b)
| ~ r0(e)
| ~ p1(b,b,b)
| n2(e) ),
inference(extension,[status(thm),parent(t12:4)],[rule_140]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t12:4]) ).
cnf(t30,plain,
( ~ p0(c,b)
| p1(b,b,b) ),
inference(extension,[status(thm),parent(t28:2)],[rule_085]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).
cnf(t32,plain,
p0(c,b),
inference(extension,[status(thm),parent(t30:2)],[axiom_18]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
r0(e),
inference(extension,[status(thm),parent(t28:3)],[axiom_13]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t28:3]) ).
cnf(t36,plain,
( ~ q0(b,d)
| ~ s0(d)
| ~ q1(d,d,d)
| r1(b) ),
inference(extension,[status(thm),parent(t28:4)],[rule_124]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t28:4]) ).
cnf(t38,plain,
( ~ k0(e)
| ~ s0(d)
| q1(d,d,d) ),
inference(extension,[status(thm),parent(t36:2)],[rule_117]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).
cnf(t40,plain,
s0(d),
inference(extension,[status(thm),parent(t38:2)],[axiom_1]) ).
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(t38:3)],[axiom_28]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t38:3]) ).
cnf(t44,plain,
s0(d),
inference(extension,[status(thm),parent(t36:3)],[axiom_1]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t36:3]) ).
cnf(t46,plain,
q0(b,d),
inference(extension,[status(thm),parent(t36:4)],[axiom_17]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t36:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN266-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 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
% 0.08/0.36 % Computer : n016.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 06:32:52 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.78/1.05 % SZS status Unsatisfiable for theBenchmark
% 0.78/1.05 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------