%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : COM009-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n002.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 01:03:28 PM UTC 2026
% Result : Unsatisfiable 4.48s 16.12s
% Output : Proof 4.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 8 unt; 0 def)
% Number of atoms : 36 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 29 ( 15 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 2 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f1,negated_conjecture,
( c_UNITY_Ototalize(v_F,t_a) = v_F
| c_UNITY_Oall__total(v_F,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1_nnf,plain,
( c_UNITY_Ototalize(v_F,t_a) = v_F
| c_UNITY_Oall__total(v_F,t_a) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
( c_UNITY_Ototalize(v_F,t_a) = v_F
| c_UNITY_Oall__total(v_F,t_a) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( c_UNITY_Ototalize(v_F,t_a) = v_F
| c_UNITY_Oall__total(v_F,t_a) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(f3,axiom,
c_UNITY_Oall__total(c_UNITY_Ototalize(V_F,T_a),T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNITY_Oall__total__totalize_0) ).
fof(f3_nnf,plain,
! [V_F,T_a] : c_UNITY_Oall__total(c_UNITY_Ototalize(V_F,T_a),T_a),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [V_F,T_a] : c_UNITY_Oall__total(c_UNITY_Ototalize(V_F,T_a),T_a),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
c_UNITY_Oall__total(c_UNITY_Ototalize(X0,X1),X1),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p4,plain,
( c_UNITY_Oall__total(v_F,t_a)
| c_UNITY_Oall__total(v_F,t_a) ),
inference(superposition,[status(thm)],[c1,c3]) ).
cnf(p5,plain,
c_UNITY_Oall__total(v_F,t_a),
inference(factoring,[status(thm)],[p4]) ).
cnf(f2,axiom,
( c_UNITY_Ototalize(V_F,T_a) = V_F
| ~ c_UNITY_Oall__total(V_F,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNITY_Oall__total__imp__totalize_0) ).
fof(f2_nnf,plain,
! [V_F,T_a] :
( c_UNITY_Ototalize(V_F,T_a) = V_F
| ~ c_UNITY_Oall__total(V_F,T_a) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [V_F,T_a] :
( c_UNITY_Ototalize(V_F,T_a) = V_F
| ~ c_UNITY_Oall__total(V_F,T_a) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( c_UNITY_Ototalize(X0,X1) = X0
| ~ c_UNITY_Oall__total(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p7,plain,
c_UNITY_Ototalize(v_F,t_a) = v_F,
inference(resolution,[status(thm)],[p5,c2]) ).
cnf(f0,negated_conjecture,
( ~ c_UNITY_Oall__total(v_F,t_a)
| c_UNITY_Ototalize(v_F,t_a) != v_F ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f0_nnf,plain,
( ~ c_UNITY_Oall__total(v_F,t_a)
| c_UNITY_Ototalize(v_F,t_a) != v_F ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
( ~ c_UNITY_Oall__total(v_F,t_a)
| c_UNITY_Ototalize(v_F,t_a) != v_F ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( ~ c_UNITY_Oall__total(v_F,t_a)
| c_UNITY_Ototalize(v_F,t_a) != v_F ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p8,plain,
( ~ c_UNITY_Oall__total(v_F,t_a)
| v_F != v_F ),
inference(demodulation,[status(thm)],[p7,c0]) ).
cnf(p9,plain,
~ c_UNITY_Oall__total(v_F,t_a),
inference(equality_resolution,[status(thm)],[p8]) ).
cnf(p10,plain,
$false,
inference(resolution,[status(thm)],[p9,p5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM009-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/15.39 % Computer : n002.cluster.edu
% 0.11/15.39 % Model : x86_64 x86_64
% 0.11/15.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/15.39 % Memory : 8046.5625MB
% 0.11/15.39 % OS : Linux 6.8.0-71-generic
% 0.11/15.39 % CPULimit : 300
% 0.11/15.39 % WCLimit : 300
% 0.11/15.39 % DateTime : Fri Sep 25 07:48:22 UTC 2026
% 0.11/15.39 % CPUTime :
% 0.11/15.39 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.48/16.12 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.48/16.12 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------