%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYO632-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n009.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 : Fri Sep 25 03:48:34 PM UTC 2026
% Result : Unsatisfiable 5.42s 1.16s
% Output : Proof 5.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 16 unt; 0 def)
% Number of atoms : 24 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 10 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 20 ( 12 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f3,axiom,
( ~ qtd3(f(B_0),s(qtd2))
| ~ qtd3(f(A_0),qtd2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1_04) ).
fof(f3_nnf,plain,
! [A_0,B_0] :
( ~ qtd3(f(B_0),s(qtd2))
| ~ qtd3(f(A_0),qtd2) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [A_0,B_0] :
( ~ qtd3(f(B_0),s(qtd2))
| ~ qtd3(f(A_0),qtd2) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( ~ qtd3(f(X1),s(qtd2))
| ~ qtd3(f(X0),qtd2) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(hi4,axiom,
ifeq(qtd3(f(X0),qtd2),true,ifeq(qtd3(f(X1),s(qtd2)),true,false,true),true) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(f1,axiom,
qtd3(f(qtd1(s(s(qtd2)),K)),qtd2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2_02) ).
fof(f1_nnf,plain,
! [K] : qtd3(f(qtd1(s(s(qtd2)),K)),qtd2),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [K] : qtd3(f(qtd1(s(s(qtd2)),K)),qtd2),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
qtd3(f(qtd1(s(s(qtd2)),X0)),qtd2),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(hi1,axiom,
qtd3(f(qtd1(s(s(qtd2)),X0)),qtd2) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(f2,axiom,
qtd3(f(B),s(qtd2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_0_03) ).
fof(f2_nnf,plain,
! [B] : qtd3(f(B),s(qtd2)),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [B] : qtd3(f(B),s(qtd2)),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
qtd3(f(X0),s(qtd2)),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(hi2,axiom,
qtd3(f(X0),s(qtd2)) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi4,hi1,hi2]) ).
cnf(t12,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t12]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO632-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 03:17:59 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.42/1.16 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.42/1.16 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------