%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT006+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n014.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 02:11:15 PM UTC 2026
% Result : Theorem 14.40s 2.28s
% Output : Proof 14.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 5
% Syntax : Number of formulae : 119 ( 101 unt; 0 def)
% Number of atoms : 238 ( 92 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 189 ( 70 ~; 64 |; 49 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-4 aty)
% Number of variables : 322 ( 76 sgn 65 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,conjecture,
! [X,R1,R2,A1,A2,T1,T2] :
( ( greater(T2,T1)
& accountability(X,A2,T2)
& accountability(X,A1,T1)
& reliability(X,R2,T2)
& reliability(X,R1,T1)
& reorganization_free(X,T1,T2)
& organization(X,T2)
& organization(X,T1) )
=> ( greater(A2,A1)
& greater(R2,R1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_FOL) ).
fof(f3_neg,negated_conjecture,
~ ! [X,R1,R2,A1,A2,T1,T2] :
( ( greater(T2,T1)
& accountability(X,A2,T2)
& accountability(X,A1,T1)
& reliability(X,R2,T2)
& reliability(X,R1,T1)
& reorganization_free(X,T1,T2)
& organization(X,T2)
& organization(X,T1) )
=> ( greater(A2,A1)
& greater(R2,R1) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f3_nnf,plain,
? [X,R1,R2,A1,A2,T1,T2] :
( ( ~ greater(A2,A1)
| ~ greater(R2,R1) )
& greater(T2,T1)
& accountability(X,A2,T2)
& accountability(X,A1,T1)
& reliability(X,R2,T2)
& reliability(X,R1,T1)
& reorganization_free(X,T1,T2)
& organization(X,T2)
& organization(X,T1) ),
inference(nnf_transformation,[status(thm)],[f3_neg]) ).
fof(f3_sk,plain,
( ( ~ greater(sk5,sk4)
| ~ greater(sk3,sk2) )
& greater(sk7,sk6)
& accountability(sk1,sk5,sk7)
& accountability(sk1,sk4,sk6)
& reliability(sk1,sk3,sk7)
& reliability(sk1,sk2,sk6)
& reorganization_free(sk1,sk6,sk7)
& organization(sk1,sk7)
& organization(sk1,sk6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1,sk2,sk3,sk4,sk5,sk6,sk7])],[f3_nnf]) ).
cnf(c13,plain,
( ~ greater(sk5,sk4)
| ~ greater(sk3,sk2) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t13,plain,
ifeq(greater(sk3,sk2),true,ifeq(greater(sk5,sk4),true,false,true),true) = true,
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(t19,plain,
ifeq(greater(sk3,sk2),true,ifeq(greater(sk5,sk4),true,false,true),true) = true,
inference(orient,[status(thm)],[t13]) ).
fof(f1,hypothesis,
! [X,Y,T1,T2,R1,R2,A1,A2,Rp1,Rp2] :
( ( reproducibility(Y,Rp2,T2)
& reproducibility(X,Rp1,T1)
& accountability(Y,A2,T2)
& accountability(X,A1,T1)
& reliability(Y,R2,T2)
& reliability(X,R1,T1)
& organization(Y,T2)
& organization(X,T1) )
=> ( greater(Rp2,Rp1)
<=> ( greater(A2,A1)
& greater(R2,R1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_FOL) ).
fof(f1_nnf,plain,
! [X,Y,T1,T2,R1,R2,A1,A2,Rp1,Rp2] :
( ( ( ~ greater(A2,A1)
| ~ greater(R2,R1)
| greater(Rp2,Rp1) )
& ( ( greater(A2,A1)
& greater(R2,R1) )
| ~ greater(Rp2,Rp1) ) )
| ~ reproducibility(Y,Rp2,T2)
| ~ reproducibility(X,Rp1,T1)
| ~ accountability(Y,A2,T2)
| ~ accountability(X,A1,T1)
| ~ reliability(Y,R2,T2)
| ~ reliability(X,R1,T1)
| ~ organization(Y,T2)
| ~ organization(X,T1) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,T1,Y,T2,R1,R2,A1,A2,Rp1,Rp2] :
( ( ( ~ greater(A2,A1)
| ~ greater(R2,R1)
| greater(Rp2,Rp1) )
& ( ( greater(A2,A1)
& greater(R2,R1) )
| ~ greater(Rp2,Rp1) ) )
| ~ reproducibility(Y,Rp2,T2)
| ~ reproducibility(X,Rp1,T1)
| ~ accountability(Y,A2,T2)
| ~ accountability(X,A1,T1)
| ~ reliability(Y,R2,T2)
| ~ reliability(X,R1,T1)
| ~ organization(Y,T2)
| ~ organization(X,T1) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c2,plain,
( greater(X7,X6)
| ~ greater(X9,X8)
| ~ reproducibility(X1,X9,X3)
| ~ reproducibility(X0,X8,X2)
| ~ accountability(X1,X7,X3)
| ~ accountability(X0,X6,X2)
| ~ reliability(X1,X5,X3)
| ~ reliability(X0,X4,X2)
| ~ organization(X1,X3)
| ~ organization(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(t16,plain,
ifeq(organization(X1,X2),true,ifeq(organization(X3,X4),true,ifeq(reliability(X1,X5,X2),true,ifeq(reliability(X3,X6,X4),true,ifeq(accountability(X1,X7,X2),true,ifeq(accountability(X3,X8,X4),true,ifeq(reproducibility(X1,X9,X2),true,ifeq(reproducibility(X3,X10,X4),true,ifeq(greater(X10,X9),true,greater(X8,X7),true),true),true),true),true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(t20,plain,
ifeq(organization(X1,X2),true,ifeq(organization(X3,X4),true,ifeq(reliability(X1,X5,X2),true,ifeq(reliability(X3,X6,X4),true,ifeq(accountability(X1,X7,X2),true,ifeq(accountability(X3,X8,X4),true,ifeq(reproducibility(X1,X9,X2),true,ifeq(reproducibility(X3,X10,X4),true,ifeq(greater(X10,X9),true,greater(X8,X7),true),true),true),true),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t16]) ).
fof(f0,axiom,
! [X,T] :
( organization(X,T)
=> ? [Rp] : reproducibility(X,Rp,T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3) ).
fof(f0_nnf,plain,
! [X,T] :
( ? [Rp] : reproducibility(X,Rp,T)
| ~ organization(X,T) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,T] :
( reproducibility(X,sk0(X,T),T)
| ~ organization(X,T) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f0_nnf]) ).
cnf(c0,plain,
( reproducibility(X0,sk0(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi0,axiom,
ifeq(organization(X0,X1),true,reproducibility(X0,sk0(X0,X1),X1),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(c6,plain,
organization(sk1,sk7),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(hi6,negated_conjecture,
organization(sk1,sk7) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(h1,plain,
reproducibility(sk1,sk0(sk1,sk7),sk7) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi6]) ).
cnf(c5,plain,
organization(sk1,sk6),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(hi5,negated_conjecture,
organization(sk1,sk6) = true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(h0,plain,
reproducibility(sk1,sk0(sk1,sk6),sk6) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi5]) ).
fof(f2,hypothesis,
! [X,Rp1,Rp2,T1,T2] :
( ( greater(T2,T1)
& reproducibility(X,Rp2,T2)
& reproducibility(X,Rp1,T1)
& reorganization_free(X,T1,T2)
& organization(X,T2)
& organization(X,T1) )
=> greater(Rp2,Rp1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4_FOL) ).
fof(f2_nnf,plain,
! [X,Rp1,Rp2,T1,T2] :
( greater(Rp2,Rp1)
| ~ greater(T2,T1)
| ~ reproducibility(X,Rp2,T2)
| ~ reproducibility(X,Rp1,T1)
| ~ reorganization_free(X,T1,T2)
| ~ organization(X,T2)
| ~ organization(X,T1) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,T1,T2,Rp1,Rp2] :
( greater(Rp2,Rp1)
| ~ greater(T2,T1)
| ~ reproducibility(X,Rp2,T2)
| ~ reproducibility(X,Rp1,T1)
| ~ reorganization_free(X,T1,T2)
| ~ organization(X,T2)
| ~ organization(X,T1) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c4,plain,
( greater(X2,X1)
| ~ greater(X4,X3)
| ~ reproducibility(X0,X2,X4)
| ~ reproducibility(X0,X1,X3)
| ~ reorganization_free(X0,X3,X4)
| ~ organization(X0,X4)
| ~ organization(X0,X3) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(hi4,axiom,
ifeq(organization(X0,X1),true,ifeq(organization(X0,X2),true,ifeq(reorganization_free(X0,X1,X2),true,ifeq(reproducibility(X0,X3,X1),true,ifeq(reproducibility(X0,X4,X2),true,ifeq(greater(X2,X1),true,greater(X4,X3),true),true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(c7,plain,
reorganization_free(sk1,sk6,sk7),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(hi7,negated_conjecture,
reorganization_free(sk1,sk6,sk7) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(c12,plain,
greater(sk7,sk6),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(hi12,negated_conjecture,
greater(sk7,sk6) = true,
inference(equality_encoding,[status(esa)],[c12]) ).
cnf(t11,plain,
greater(sk0(sk1,sk7),sk0(sk1,sk6)) = true,
inference(hyper_resolution,[status(thm)],[hi4,hi5,hi6,hi7,h0,h1,hi12]) ).
cnf(t35,plain,
greater(sk0(sk1,sk7),sk0(sk1,sk6)) = true,
inference(orient,[status(thm)],[t11]) ).
cnf(t38,plain,
true = ifeq(organization(X1,X2),true,ifeq(organization(X3,X4),true,ifeq(reliability(X1,X5,X2),true,ifeq(reliability(X3,X6,X4),true,ifeq(accountability(X1,X7,X2),true,ifeq(accountability(X3,X8,X4),true,ifeq(reproducibility(X1,sk0(sk1,sk6),X2),true,ifeq(reproducibility(X3,sk0(sk1,sk7),X4),true,ifeq(true,true,greater(X8,X7),true),true),true),true),true),true),true),true),true),
inference(cp,[status(thm)],[t20,t35]) ).
cnf(t8,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t18,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t8]) ).
cnf(t2329,plain,
true = ifeq(organization(X1,X2),true,ifeq(organization(X3,X4),true,ifeq(reliability(X1,X5,X2),true,ifeq(reliability(X3,X6,X4),true,ifeq(accountability(X1,X7,X2),true,ifeq(accountability(X3,X8,X4),true,ifeq(reproducibility(X1,sk0(sk1,sk6),X2),true,ifeq(reproducibility(X3,sk0(sk1,sk7),X4),true,greater(X8,X7),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t38,t18]) ).
cnf(t1191,plain,
ifeq(organization(X1,X2),true,ifeq(organization(X3,X4),true,ifeq(reliability(X1,X5,X2),true,ifeq(reliability(X3,X6,X4),true,ifeq(accountability(X1,X7,X2),true,ifeq(accountability(X3,X8,X4),true,ifeq(reproducibility(X1,sk0(sk1,sk6),X2),true,ifeq(reproducibility(X3,sk0(sk1,sk7),X4),true,greater(X8,X7),true),true),true),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t2329]) ).
cnf(t9,plain,
reproducibility(sk1,sk0(sk1,sk6),sk6) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi5]) ).
cnf(t74,plain,
reproducibility(sk1,sk0(sk1,sk6),sk6) = true,
inference(orient,[status(thm)],[t9]) ).
cnf(t1204,plain,
true = ifeq(organization(sk1,sk6),true,ifeq(organization(X1,X2),true,ifeq(reliability(sk1,X3,sk6),true,ifeq(reliability(X1,X4,X2),true,ifeq(accountability(sk1,X5,sk6),true,ifeq(accountability(X1,X6,X2),true,ifeq(true,true,ifeq(reproducibility(X1,sk0(sk1,sk7),X2),true,greater(X6,X5),true),true),true),true),true),true),true),true),
inference(cp,[status(thm)],[t1191,t74]) ).
cnf(t1,plain,
organization(sk1,sk6) = true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(t55,plain,
organization(sk1,sk6) = true,
inference(orient,[status(thm)],[t1]) ).
cnf(t2362,plain,
true = ifeq(true,true,ifeq(organization(X1,X2),true,ifeq(reliability(sk1,X3,sk6),true,ifeq(reliability(X1,X4,X2),true,ifeq(accountability(sk1,X5,sk6),true,ifeq(accountability(X1,X6,X2),true,ifeq(true,true,ifeq(reproducibility(X1,sk0(sk1,sk7),X2),true,greater(X6,X5),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t1204,t55]) ).
cnf(t2363,plain,
true = ifeq(organization(X1,X2),true,ifeq(reliability(sk1,X3,sk6),true,ifeq(reliability(X1,X4,X2),true,ifeq(accountability(sk1,X5,sk6),true,ifeq(accountability(X1,X6,X2),true,ifeq(true,true,ifeq(reproducibility(X1,sk0(sk1,sk7),X2),true,greater(X6,X5),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t2362,t18]) ).
cnf(t2364,plain,
true = ifeq(organization(X1,X2),true,ifeq(reliability(sk1,X3,sk6),true,ifeq(reliability(X1,X4,X2),true,ifeq(accountability(sk1,X5,sk6),true,ifeq(accountability(X1,X6,X2),true,ifeq(reproducibility(X1,sk0(sk1,sk7),X2),true,greater(X6,X5),true),true),true),true),true),true),
inference(step,[status(thm)],[t2363,t18]) ).
cnf(t1241,plain,
ifeq(organization(X1,X2),true,ifeq(reliability(sk1,X3,sk6),true,ifeq(reliability(X1,X4,X2),true,ifeq(accountability(sk1,X5,sk6),true,ifeq(accountability(X1,X6,X2),true,ifeq(reproducibility(X1,sk0(sk1,sk7),X2),true,greater(X6,X5),true),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t2364]) ).
cnf(c9,plain,
reliability(sk1,sk3,sk7),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t6,plain,
reliability(sk1,sk3,sk7) = true,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(t83,plain,
reliability(sk1,sk3,sk7) = true,
inference(orient,[status(thm)],[t6]) ).
cnf(t1245,plain,
true = ifeq(organization(sk1,sk7),true,ifeq(reliability(sk1,X1,sk6),true,ifeq(true,true,ifeq(accountability(sk1,X2,sk6),true,ifeq(accountability(sk1,X3,sk7),true,ifeq(reproducibility(sk1,sk0(sk1,sk7),sk7),true,greater(X3,X2),true),true),true),true),true),true),
inference(cp,[status(thm)],[t1241,t83]) ).
cnf(t2,plain,
organization(sk1,sk7) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(t45,plain,
organization(sk1,sk7) = true,
inference(orient,[status(thm)],[t2]) ).
cnf(t2365,plain,
true = ifeq(true,true,ifeq(reliability(sk1,X1,sk6),true,ifeq(true,true,ifeq(accountability(sk1,X2,sk6),true,ifeq(accountability(sk1,X3,sk7),true,ifeq(reproducibility(sk1,sk0(sk1,sk7),sk7),true,greater(X3,X2),true),true),true),true),true),true),
inference(step,[status(thm)],[t1245,t45]) ).
cnf(t2366,plain,
true = ifeq(reliability(sk1,X1,sk6),true,ifeq(true,true,ifeq(accountability(sk1,X2,sk6),true,ifeq(accountability(sk1,X3,sk7),true,ifeq(reproducibility(sk1,sk0(sk1,sk7),sk7),true,greater(X3,X2),true),true),true),true),true),
inference(step,[status(thm)],[t2365,t18]) ).
cnf(t2367,plain,
true = ifeq(reliability(sk1,X1,sk6),true,ifeq(accountability(sk1,X2,sk6),true,ifeq(accountability(sk1,X3,sk7),true,ifeq(reproducibility(sk1,sk0(sk1,sk7),sk7),true,greater(X3,X2),true),true),true),true),
inference(step,[status(thm)],[t2366,t18]) ).
cnf(t10,plain,
reproducibility(sk1,sk0(sk1,sk7),sk7) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi6]) ).
cnf(t65,plain,
reproducibility(sk1,sk0(sk1,sk7),sk7) = true,
inference(orient,[status(thm)],[t10]) ).
cnf(t2368,plain,
true = ifeq(reliability(sk1,X1,sk6),true,ifeq(accountability(sk1,X2,sk6),true,ifeq(accountability(sk1,X3,sk7),true,ifeq(true,true,greater(X3,X2),true),true),true),true),
inference(step,[status(thm)],[t2367,t65]) ).
cnf(t2369,plain,
true = ifeq(reliability(sk1,X1,sk6),true,ifeq(accountability(sk1,X2,sk6),true,ifeq(accountability(sk1,X3,sk7),true,greater(X3,X2),true),true),true),
inference(step,[status(thm)],[t2368,t18]) ).
cnf(t1253,plain,
ifeq(reliability(sk1,X1,sk6),true,ifeq(accountability(sk1,X2,sk6),true,ifeq(accountability(sk1,X3,sk7),true,greater(X3,X2),true),true),true) = true,
inference(orient,[status(thm)],[t2369]) ).
cnf(c8,plain,
reliability(sk1,sk2,sk6),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t5,plain,
reliability(sk1,sk2,sk6) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(t90,plain,
reliability(sk1,sk2,sk6) = true,
inference(orient,[status(thm)],[t5]) ).
cnf(t1254,plain,
true = ifeq(true,true,ifeq(accountability(sk1,X1,sk6),true,ifeq(accountability(sk1,X2,sk7),true,greater(X2,X1),true),true),true),
inference(cp,[status(thm)],[t1253,t90]) ).
cnf(t2370,plain,
true = ifeq(accountability(sk1,X1,sk6),true,ifeq(accountability(sk1,X2,sk7),true,greater(X2,X1),true),true),
inference(step,[status(thm)],[t1254,t18]) ).
cnf(t1257,plain,
ifeq(accountability(sk1,X1,sk6),true,ifeq(accountability(sk1,X2,sk7),true,greater(X2,X1),true),true) = true,
inference(orient,[status(thm)],[t2370]) ).
cnf(c10,plain,
accountability(sk1,sk4,sk6),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t3,plain,
accountability(sk1,sk4,sk6) = true,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(t104,plain,
accountability(sk1,sk4,sk6) = true,
inference(orient,[status(thm)],[t3]) ).
cnf(t1258,plain,
true = ifeq(true,true,ifeq(accountability(sk1,X1,sk7),true,greater(X1,sk4),true),true),
inference(cp,[status(thm)],[t1257,t104]) ).
cnf(t2371,plain,
true = ifeq(accountability(sk1,X1,sk7),true,greater(X1,sk4),true),
inference(step,[status(thm)],[t1258,t18]) ).
cnf(t1260,plain,
ifeq(accountability(sk1,X1,sk7),true,greater(X1,sk4),true) = true,
inference(orient,[status(thm)],[t2371]) ).
cnf(c11,plain,
accountability(sk1,sk5,sk7),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t4,plain,
accountability(sk1,sk5,sk7) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(t97,plain,
accountability(sk1,sk5,sk7) = true,
inference(orient,[status(thm)],[t4]) ).
cnf(t1261,plain,
true = ifeq(true,true,greater(sk5,sk4),true),
inference(cp,[status(thm)],[t1260,t97]) ).
cnf(t2372,plain,
true = greater(sk5,sk4),
inference(step,[status(thm)],[t1261,t18]) ).
cnf(t1262,plain,
greater(sk5,sk4) = true,
inference(orient,[status(thm)],[t2372]) ).
cnf(t2373,plain,
ifeq(greater(sk3,sk2),true,ifeq(true,true,false,true),true) = true,
inference(step,[status(thm)],[t19,t1262]) ).
cnf(t2374,plain,
ifeq(greater(sk3,sk2),true,false,true) = true,
inference(step,[status(thm)],[t2373,t18]) ).
cnf(t1378,plain,
ifeq(greater(sk3,sk2),true,false,true) = true,
inference(rw,[status(thm)],[t2374]) ).
cnf(t1379,plain,
ifeq(greater(sk3,sk2),true,false,true) = true,
inference(orient,[status(thm)],[t1378]) ).
cnf(c1,plain,
( greater(X5,X4)
| ~ greater(X9,X8)
| ~ reproducibility(X1,X9,X3)
| ~ reproducibility(X0,X8,X2)
| ~ accountability(X1,X7,X3)
| ~ accountability(X0,X6,X2)
| ~ reliability(X1,X5,X3)
| ~ reliability(X0,X4,X2)
| ~ organization(X1,X3)
| ~ organization(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(t15,plain,
ifeq(organization(X1,X2),true,ifeq(organization(X3,X4),true,ifeq(reliability(X1,X5,X2),true,ifeq(reliability(X3,X6,X4),true,ifeq(accountability(X1,X7,X2),true,ifeq(accountability(X3,X8,X4),true,ifeq(reproducibility(X1,X9,X2),true,ifeq(reproducibility(X3,X10,X4),true,ifeq(greater(X10,X9),true,greater(X6,X5),true),true),true),true),true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(t21,plain,
ifeq(organization(X1,X2),true,ifeq(organization(X3,X4),true,ifeq(reliability(X1,X5,X2),true,ifeq(reliability(X3,X6,X4),true,ifeq(accountability(X1,X7,X2),true,ifeq(accountability(X3,X8,X4),true,ifeq(reproducibility(X1,X9,X2),true,ifeq(reproducibility(X3,X10,X4),true,ifeq(greater(X10,X9),true,greater(X6,X5),true),true),true),true),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t15]) ).
cnf(t40,plain,
true = ifeq(organization(X1,X2),true,ifeq(organization(X3,X4),true,ifeq(reliability(X1,X5,X2),true,ifeq(reliability(X3,X6,X4),true,ifeq(accountability(X1,X7,X2),true,ifeq(accountability(X3,X8,X4),true,ifeq(reproducibility(X1,sk0(sk1,sk6),X2),true,ifeq(reproducibility(X3,sk0(sk1,sk7),X4),true,ifeq(true,true,greater(X6,X5),true),true),true),true),true),true),true),true),true),
inference(cp,[status(thm)],[t21,t35]) ).
cnf(t2411,plain,
true = ifeq(organization(X1,X2),true,ifeq(organization(X3,X4),true,ifeq(reliability(X1,X5,X2),true,ifeq(reliability(X3,X6,X4),true,ifeq(accountability(X1,X7,X2),true,ifeq(accountability(X3,X8,X4),true,ifeq(reproducibility(X1,sk0(sk1,sk6),X2),true,ifeq(reproducibility(X3,sk0(sk1,sk7),X4),true,greater(X6,X5),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t40,t18]) ).
cnf(t1490,plain,
ifeq(organization(X1,X2),true,ifeq(organization(X3,X4),true,ifeq(reliability(X1,X5,X2),true,ifeq(reliability(X3,X6,X4),true,ifeq(accountability(X1,X7,X2),true,ifeq(accountability(X3,X8,X4),true,ifeq(reproducibility(X1,sk0(sk1,sk6),X2),true,ifeq(reproducibility(X3,sk0(sk1,sk7),X4),true,greater(X6,X5),true),true),true),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t2411]) ).
cnf(t1503,plain,
true = ifeq(organization(sk1,sk6),true,ifeq(organization(X1,X2),true,ifeq(reliability(sk1,X3,sk6),true,ifeq(reliability(X1,X4,X2),true,ifeq(accountability(sk1,X5,sk6),true,ifeq(accountability(X1,X6,X2),true,ifeq(true,true,ifeq(reproducibility(X1,sk0(sk1,sk7),X2),true,greater(X4,X3),true),true),true),true),true),true),true),true),
inference(cp,[status(thm)],[t1490,t74]) ).
cnf(t2457,plain,
true = ifeq(true,true,ifeq(organization(X1,X2),true,ifeq(reliability(sk1,X3,sk6),true,ifeq(reliability(X1,X4,X2),true,ifeq(accountability(sk1,X5,sk6),true,ifeq(accountability(X1,X6,X2),true,ifeq(true,true,ifeq(reproducibility(X1,sk0(sk1,sk7),X2),true,greater(X4,X3),true),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t1503,t55]) ).
cnf(t2458,plain,
true = ifeq(organization(X1,X2),true,ifeq(reliability(sk1,X3,sk6),true,ifeq(reliability(X1,X4,X2),true,ifeq(accountability(sk1,X5,sk6),true,ifeq(accountability(X1,X6,X2),true,ifeq(true,true,ifeq(reproducibility(X1,sk0(sk1,sk7),X2),true,greater(X4,X3),true),true),true),true),true),true),true),
inference(step,[status(thm)],[t2457,t18]) ).
cnf(t2459,plain,
true = ifeq(organization(X1,X2),true,ifeq(reliability(sk1,X3,sk6),true,ifeq(reliability(X1,X4,X2),true,ifeq(accountability(sk1,X5,sk6),true,ifeq(accountability(X1,X6,X2),true,ifeq(reproducibility(X1,sk0(sk1,sk7),X2),true,greater(X4,X3),true),true),true),true),true),true),
inference(step,[status(thm)],[t2458,t18]) ).
cnf(t1622,plain,
ifeq(organization(X1,X2),true,ifeq(reliability(sk1,X3,sk6),true,ifeq(reliability(X1,X4,X2),true,ifeq(accountability(sk1,X5,sk6),true,ifeq(accountability(X1,X6,X2),true,ifeq(reproducibility(X1,sk0(sk1,sk7),X2),true,greater(X4,X3),true),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t2459]) ).
cnf(t1626,plain,
true = ifeq(organization(sk1,sk7),true,ifeq(reliability(sk1,X1,sk6),true,ifeq(true,true,ifeq(accountability(sk1,X2,sk6),true,ifeq(accountability(sk1,X3,sk7),true,ifeq(reproducibility(sk1,sk0(sk1,sk7),sk7),true,greater(sk3,X1),true),true),true),true),true),true),
inference(cp,[status(thm)],[t1622,t83]) ).
cnf(t2460,plain,
true = ifeq(true,true,ifeq(reliability(sk1,X1,sk6),true,ifeq(true,true,ifeq(accountability(sk1,X2,sk6),true,ifeq(accountability(sk1,X3,sk7),true,ifeq(reproducibility(sk1,sk0(sk1,sk7),sk7),true,greater(sk3,X1),true),true),true),true),true),true),
inference(step,[status(thm)],[t1626,t45]) ).
cnf(t2461,plain,
true = ifeq(reliability(sk1,X1,sk6),true,ifeq(true,true,ifeq(accountability(sk1,X2,sk6),true,ifeq(accountability(sk1,X3,sk7),true,ifeq(reproducibility(sk1,sk0(sk1,sk7),sk7),true,greater(sk3,X1),true),true),true),true),true),
inference(step,[status(thm)],[t2460,t18]) ).
cnf(t2462,plain,
true = ifeq(reliability(sk1,X1,sk6),true,ifeq(accountability(sk1,X2,sk6),true,ifeq(accountability(sk1,X3,sk7),true,ifeq(reproducibility(sk1,sk0(sk1,sk7),sk7),true,greater(sk3,X1),true),true),true),true),
inference(step,[status(thm)],[t2461,t18]) ).
cnf(t2463,plain,
true = ifeq(reliability(sk1,X1,sk6),true,ifeq(accountability(sk1,X2,sk6),true,ifeq(accountability(sk1,X3,sk7),true,ifeq(true,true,greater(sk3,X1),true),true),true),true),
inference(step,[status(thm)],[t2462,t65]) ).
cnf(t2464,plain,
true = ifeq(reliability(sk1,X1,sk6),true,ifeq(accountability(sk1,X2,sk6),true,ifeq(accountability(sk1,X3,sk7),true,greater(sk3,X1),true),true),true),
inference(step,[status(thm)],[t2463,t18]) ).
cnf(t1635,plain,
ifeq(reliability(sk1,X1,sk6),true,ifeq(accountability(sk1,X2,sk6),true,ifeq(accountability(sk1,X3,sk7),true,greater(sk3,X1),true),true),true) = true,
inference(orient,[status(thm)],[t2464]) ).
cnf(t1636,plain,
true = ifeq(true,true,ifeq(accountability(sk1,X1,sk6),true,ifeq(accountability(sk1,X2,sk7),true,greater(sk3,sk2),true),true),true),
inference(cp,[status(thm)],[t1635,t90]) ).
cnf(t2465,plain,
true = ifeq(accountability(sk1,X1,sk6),true,ifeq(accountability(sk1,X2,sk7),true,greater(sk3,sk2),true),true),
inference(step,[status(thm)],[t1636,t18]) ).
cnf(t1639,plain,
ifeq(accountability(sk1,X1,sk6),true,ifeq(accountability(sk1,X2,sk7),true,greater(sk3,sk2),true),true) = true,
inference(orient,[status(thm)],[t2465]) ).
cnf(t1640,plain,
true = ifeq(true,true,ifeq(accountability(sk1,X1,sk7),true,greater(sk3,sk2),true),true),
inference(cp,[status(thm)],[t1639,t104]) ).
cnf(t2466,plain,
true = ifeq(accountability(sk1,X1,sk7),true,greater(sk3,sk2),true),
inference(step,[status(thm)],[t1640,t18]) ).
cnf(t1642,plain,
ifeq(accountability(sk1,X1,sk7),true,greater(sk3,sk2),true) = true,
inference(orient,[status(thm)],[t2466]) ).
cnf(t1643,plain,
true = ifeq(true,true,greater(sk3,sk2),true),
inference(cp,[status(thm)],[t1642,t97]) ).
cnf(t2467,plain,
true = greater(sk3,sk2),
inference(step,[status(thm)],[t1643,t18]) ).
cnf(t1644,plain,
greater(sk3,sk2) = true,
inference(orient,[status(thm)],[t2467]) ).
cnf(t2468,plain,
ifeq(true,true,false,true) = true,
inference(step,[status(thm)],[t1379,t1644]) ).
cnf(t2469,plain,
false = true,
inference(step,[status(thm)],[t2468,t18]) ).
cnf(t1777,plain,
false = true,
inference(rw,[status(thm)],[t2469]) ).
cnf(t1778,plain,
false = true,
inference(orient,[status(thm)],[t1777]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t1778]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT006+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.34 % Computer : n014.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Thu Sep 24 00:56:47 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 14.40/2.28 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.40/2.28 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------