%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT044-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n020.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 02:11:48 PM UTC 2026
% Result : Unsatisfiable 5.74s 1.23s
% Output : Proof 5.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 46 ( 26 unt; 0 def)
% Number of atoms : 78 ( 23 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 74 ( 42 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-4 aty)
% Number of variables : 67 ( 9 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f15,axiom,
( internal_friction(A,B) = internal_friction(A,C)
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_9_36) ).
fof(f15_nnf,plain,
! [A,B,C] :
( internal_friction(A,B) = internal_friction(A,C)
| ~ organization(A) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [A,B,C] :
( internal_friction(A,B) = internal_friction(A,C)
| ~ organization(A) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
( internal_friction(X0,X1) = internal_friction(X0,X2)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(hi14,axiom,
ifeq(organization(X0),true,internal_friction(X0,X1),internal_friction(X0,X2)) = internal_friction(X0,X2),
inference(equality_encoding,[status(esa)],[c15]) ).
cnf(f16,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_3_37) ).
fof(f16_nnf,plain,
organization(sk1),
inference(nnf_transformation,[status(thm)],[f16]) ).
cnf(c16,plain,
organization(sk1),
inference(cnf_transformation,[status(esa)],[f16_nnf]) ).
cnf(hi15,negated_conjecture,
organization(sk1) = true,
inference(equality_encoding,[status(esa)],[c16]) ).
cnf(h0,plain,
internal_friction(sk1,V0) = internal_friction(sk1,V1),
inference(hyper_resolution,[status(thm)],[hi14,hi15]) ).
cnf(f2,axiom,
( smaller_or_equal(A,B)
| A != B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_3) ).
fof(f2_nnf,plain,
! [A,B] :
( smaller_or_equal(A,B)
| A != B ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [A,B] :
( smaller_or_equal(A,B)
| A != B ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( smaller_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(hi2,axiom,
ifeq(X0,X1,smaller_or_equal(X0,X1),true) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(h58,plain,
smaller_or_equal(internal_friction(sk1,V0),internal_friction(sk1,V1)) = true,
inference(hyper_resolution,[status(thm)],[hi2,h0]) ).
cnf(f14,axiom,
( greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ greater(age(A,B),age(A,C))
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_7_35) ).
fof(f14_nnf,plain,
! [A,B,C] :
( greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ greater(age(A,B),age(A,C))
| ~ organization(A) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [A,B,C] :
( greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ greater(age(A,B),age(A,C))
| ~ organization(A) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
( greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ greater(age(X0,X1),age(X0,X2))
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(hi13,axiom,
ifeq(organization(X0),true,ifeq(greater(age(X0,X1),age(X0,X2)),true,greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2)),true),true) = true,
inference(equality_encoding,[status(esa)],[c14]) ).
cnf(f17,negated_conjecture,
greater(age(sk1,sk3),age(sk1,sk2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_3_38) ).
fof(f17_nnf,plain,
greater(age(sk1,sk3),age(sk1,sk2)),
inference(nnf_transformation,[status(thm)],[f17]) ).
cnf(c17,plain,
greater(age(sk1,sk3),age(sk1,sk2)),
inference(cnf_transformation,[status(esa)],[f17_nnf]) ).
cnf(hi16,negated_conjecture,
greater(age(sk1,sk3),age(sk1,sk2)) = true,
inference(equality_encoding,[status(esa)],[c17]) ).
cnf(h9,plain,
greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) = true,
inference(hyper_resolution,[status(thm)],[hi13,hi15,hi16]) ).
cnf(f11,axiom,
( greater(capability(A,B),capability(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5_32) ).
fof(f11_nnf,plain,
! [A,B,C] :
( greater(capability(A,B),capability(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [A,B,C] :
( greater(capability(A,B),capability(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ organization(A) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( greater(capability(X0,X1),capability(X0,X2))
| ~ smaller_or_equal(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(hi10,axiom,
ifeq(organization(X0),true,ifeq(greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2)),true,ifeq(smaller_or_equal(internal_friction(X0,X1),internal_friction(X0,X2)),true,greater(capability(X0,X1),capability(X0,X2)),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(h339,plain,
greater(capability(sk1,sk3),capability(sk1,sk2)) = true,
inference(hyper_resolution,[status(thm)],[hi10,hi15,h9,h58]) ).
cnf(f18,negated_conjecture,
~ greater(capability(sk1,sk3),capability(sk1,sk2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_3_39) ).
fof(f18_nnf,plain,
~ greater(capability(sk1,sk3),capability(sk1,sk2)),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
~ greater(capability(sk1,sk3),capability(sk1,sk2)),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
~ greater(capability(sk1,sk3),capability(sk1,sk2)),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(hi18,negated_conjecture,
ifeq(greater(capability(sk1,sk3),capability(sk1,sk2)),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi18,h339]) ).
cnf(t260,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
cnf(f8,axiom,
( ~ greater(B,A)
| ~ greater(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_strict_9) ).
fof(f8_nnf,plain,
! [A,B] :
( ~ greater(B,A)
| ~ greater(A,B) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [A,B] :
( ~ greater(B,A)
| ~ greater(A,B) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c8,c18]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t260]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT044-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.38 % Computer : n020.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Thu Sep 24 01:12:04 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.74/1.23 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.74/1.23 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------