%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : COL091-2 : TPTP v9.3.1. Released v2.7.0.
% 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 : n013.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 08:14:33 AM UTC 2026
% Result : Unsatisfiable 41.90s 42.19s
% Output : Proof 41.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 10
% Syntax : Number of clauses : 47 ( 29 unt; 3 nHn; 47 RR)
% Number of literals : 74 ( 15 equ; 28 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 22 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(k_app,axiom,
combK != comb_app(P,Q),
file('theBenchmark.p',k_app) ).
cnf(ap_contractE1,axiom,
( ap_contractE_c4(P,Q,R)
| ap_contractE_c3(P,Q,R)
| ap_contractE_c2(P,Q,R)
| ap_contractE_c1(P,Q,R)
| ~ member(pair(comb_app(P,Q),R),contract) ),
file('theBenchmark.p',ap_contractE1) ).
cnf(ap_contractE4,axiom,
( P = comb_app(combK,R)
| ~ ap_contractE_c1(P,Q,R) ),
file('theBenchmark.p',ap_contractE4) ).
cnf(ap_contractE9,axiom,
( P = comb_app(comb_app(combS,ap_contractE_sk1p(P,Q,R)),ap_contractE_sk1q(P,Q,R))
| ~ ap_contractE_c2(P,Q,R) ),
file('theBenchmark.p',ap_contractE9) ).
cnf(ap_contractE10,axiom,
( member(pair(P,ap_contractE_sk2q(P,Q,R)),contract)
| ~ ap_contractE_c3(P,Q,R) ),
file('theBenchmark.p',ap_contractE10) ).
cnf(ap_contractE13,axiom,
( member(pair(Q,ap_contractE_sk3q(P,Q,R)),contract)
| ~ ap_contractE_c4(P,Q,R) ),
file('theBenchmark.p',ap_contractE13) ).
cnf(ap_contractE15,axiom,
( R = comb_app(P,ap_contractE_sk3q(P,Q,R))
| ~ ap_contractE_c4(P,Q,R) ),
file('theBenchmark.p',ap_contractE15) ).
cnf(k_contractE,axiom,
~ member(pair(combK,R),contract),
file('theBenchmark.p',k_contractE) ).
cnf(k1_contractD_h1,hypothesis,
member(pair(comb_app(combK,p),r),contract),
file('theBenchmark.p',k1_contractD_h1) ).
cnf(k1_contractD_c1,negated_conjecture,
( ~ member(pair(p,Q),contract)
| r != comb_app(combK,Q) ),
file('theBenchmark.p',k1_contractD_c1) ).
cnf(t1,plain,
( ~ member(pair(p,ap_contractE_sk3q(combK,p,r)),contract)
| r != comb_app(combK,ap_contractE_sk3q(combK,p,r)) ),
inference(start,[status(thm),parent(0:0)],[k1_contractD_c1]) ).
cnf(t2,plain,
( ~ ap_contractE_c4(combK,p,r)
| r = comb_app(combK,ap_contractE_sk3q(combK,p,r)) ),
inference(extension,[status(thm),parent(t1:1)],[ap_contractE15]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ap_contractE_c1(combK,p,r)
| ap_contractE_c2(combK,p,r)
| ap_contractE_c3(combK,p,r)
| ~ member(pair(comb_app(combK,p),r),contract)
| ap_contractE_c4(combK,p,r) ),
inference(extension,[status(thm),parent(t2:2)],[ap_contractE1]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
member(pair(comb_app(combK,p),r),contract),
inference(extension,[status(thm),parent(t4:2)],[k1_contractD_h1]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( member(pair(combK,ap_contractE_sk2q(combK,p,r)),contract)
| ~ ap_contractE_c3(combK,p,r) ),
inference(extension,[status(thm),parent(t4:3)],[ap_contractE10]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(t10,plain,
~ member(pair(combK,ap_contractE_sk2q(combK,p,r)),contract),
inference(extension,[status(thm),parent(t8:2)],[k_contractE]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( combK = comb_app(comb_app(combS,ap_contractE_sk1p(combK,p,r)),ap_contractE_sk1q(combK,p,r))
| ~ ap_contractE_c2(combK,p,r) ),
inference(extension,[status(thm),parent(t4:4)],[ap_contractE9]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t4:4]) ).
cnf(t14,plain,
combK != comb_app(comb_app(combS,ap_contractE_sk1p(combK,p,r)),ap_contractE_sk1q(combK,p,r)),
inference(extension,[status(thm),parent(t12:2)],[k_app]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
( combK = comb_app(combK,r)
| ~ ap_contractE_c1(combK,p,r) ),
inference(extension,[status(thm),parent(t4:5)],[ap_contractE4]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t4:5]) ).
cnf(t18,plain,
combK != comb_app(combK,r),
inference(extension,[status(thm),parent(t16:2)],[k_app]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
( ~ ap_contractE_c4(combK,p,r)
| member(pair(p,ap_contractE_sk3q(combK,p,r)),contract) ),
inference(extension,[status(thm),parent(t1:2)],[ap_contractE13]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t1:2]) ).
cnf(t22,plain,
( ap_contractE_c1(combK,p,r)
| ap_contractE_c2(combK,p,r)
| ap_contractE_c3(combK,p,r)
| ~ member(pair(comb_app(combK,p),r),contract)
| ap_contractE_c4(combK,p,r) ),
inference(extension,[status(thm),parent(t20:2)],[ap_contractE1]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
member(pair(comb_app(combK,p),r),contract),
inference(extension,[status(thm),parent(t22:2)],[k1_contractD_h1]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
( member(pair(combK,ap_contractE_sk2q(combK,p,r)),contract)
| ~ ap_contractE_c3(combK,p,r) ),
inference(extension,[status(thm),parent(t22:3)],[ap_contractE10]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t22:3]) ).
cnf(t28,plain,
~ member(pair(combK,ap_contractE_sk2q(combK,p,r)),contract),
inference(extension,[status(thm),parent(t26:2)],[k_contractE]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
( combK = comb_app(comb_app(combS,ap_contractE_sk1p(combK,p,r)),ap_contractE_sk1q(combK,p,r))
| ~ ap_contractE_c2(combK,p,r) ),
inference(extension,[status(thm),parent(t22:4)],[ap_contractE9]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t22:4]) ).
cnf(t32,plain,
combK != comb_app(comb_app(combS,ap_contractE_sk1p(combK,p,r)),ap_contractE_sk1q(combK,p,r)),
inference(extension,[status(thm),parent(t30:2)],[k_app]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
( combK = comb_app(combK,r)
| ~ ap_contractE_c1(combK,p,r) ),
inference(extension,[status(thm),parent(t22:5)],[ap_contractE4]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t22:5]) ).
cnf(t36,plain,
combK != comb_app(combK,r),
inference(extension,[status(thm),parent(t34:2)],[k_app]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : COL091-2 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n013.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 20 14:54:05 UTC 2026
% 0.16/0.43 % CPUTime :
% 41.90/42.19 % SZS status Unsatisfiable for theBenchmark
% 41.90/42.19 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------