%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : COL088-1 : TPTP v9.0.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Jul 24 10:52:21 AM UTC 2025
% Result : Unsatisfiable 62.23s 8.14s
% Output : CNFRefutation 62.23s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named ap_reduce1_2c1)
% Comments :
%------------------------------------------------------------------------------
cnf(43,plain,
~ member(pair(comb_app(p,r),comb_app(z,r)),rtrancl(contract)),
inference(cnf,[status(esa)],[ap_reduce1_2c1]) ).
cnf(l0,plain,
~ member(pair(comb_app(p,r),comb_app(z,r)),rtrancl(contract)),
inference(instantiation,[status(thm)],[43]) ).
cnf(31,plain,
( ~ member(pair(X0,X1),X2)
| ~ member(pair(X1,X3),X2)
| ~ trans(X2)
| member(pair(X0,X3),X2) ),
inference(cnf,[status(esa)],[transD]) ).
cnf(l1,plain,
( ~ member(pair(comb_app(p,r),comb_app(y,r)),rtrancl(contract))
| ~ member(pair(comb_app(y,r),comb_app(z,r)),rtrancl(contract))
| ~ trans(rtrancl(contract))
| member(pair(comb_app(p,r),comb_app(z,r)),rtrancl(contract)) ),
inference(instantiation,[status(thm)],[31]) ).
cnf(42,plain,
member(pair(comb_app(p,r),comb_app(y,r)),rtrancl(contract)),
inference(cnf,[status(esa)],[ap_reduce1_2h5]) ).
cnf(l2,plain,
member(pair(comb_app(p,r),comb_app(y,r)),rtrancl(contract)),
inference(instantiation,[status(thm)],[42]) ).
cnf(36,plain,
( ~ member(X0,comb)
| ~ member(pair(X1,X2),contract)
| ~ member(pair(comb_app(X2,X0),X3),rtrancl(contract))
| member(pair(comb_app(X1,X0),X3),rtrancl(contract)) ),
inference(cnf,[status(esa)],[reduction_rls_3]) ).
cnf(l3,plain,
( ~ member(r,comb)
| ~ member(pair(y,z),contract)
| ~ member(pair(comb_app(z,r),comb_app(z,r)),rtrancl(contract))
| member(pair(comb_app(y,r),comb_app(z,r)),rtrancl(contract)) ),
inference(instantiation,[status(thm)],[36]) ).
cnf(41,plain,
member(pair(y,z),contract),
inference(cnf,[status(esa)],[ap_reduce1_2h4]) ).
cnf(l174,plain,
member(pair(y,z),contract),
inference(instantiation,[status(thm)],[41]) ).
cnf(11,plain,
( ~ member(X0,comb)
| member(pair(X0,X0),rtrancl(contract)) ),
inference(cnf,[status(esa)],[reduction_refl]) ).
cnf(l186,plain,
( ~ member(comb_app(z,r),comb)
| member(pair(comb_app(z,r),comb_app(z,r)),rtrancl(contract)) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(10,plain,
( ~ member(X0,comb)
| ~ member(X1,comb)
| member(comb_app(X0,X1),comb) ),
inference(cnf,[status(esa)],[comb_intros3]) ).
cnf(l191,plain,
( ~ member(z,comb)
| ~ member(r,comb)
| member(comb_app(z,r),comb) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(38,plain,
member(r,comb),
inference(cnf,[status(esa)],[ap_reduce1_2h1]) ).
cnf(l11,plain,
member(r,comb),
inference(instantiation,[status(thm)],[38]) ).
cnf(33,plain,
( ~ member(pair(X0,X1),contract)
| member(X1,comb) ),
inference(cnf,[status(esa)],[contract_combD2]) ).
cnf(l192,plain,
( ~ member(pair(y,z),contract)
| member(z,comb) ),
inference(instantiation,[status(thm)],[33]) ).
cnf(l215,plain,
member(pair(y,z),contract),
inference(instantiation,[status(thm)],[41]) ).
cnf(32,plain,
trans(rtrancl(X0)),
inference(cnf,[status(esa)],[trans_rtrancl]) ).
cnf(l4,plain,
trans(rtrancl(contract)),
inference(instantiation,[status(thm)],[32]) ).
cnf(l345,plain,
member(r,comb),
inference(instantiation,[status(thm)],[38]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l174,l186,l191,l11,l192,l215,l4,l345]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : COL088-1 : TPTP v9.0.0. Released v2.7.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jul 20 05:55:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.37 % launching worker at depth: 11
% 0.20/0.52 % launching worker at depth: 12
% 9.57/1.54 % launching worker at depth: 13
% 62.23/8.14 % SZS status Theorem for theBenchmark
% 62.23/8.14 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------