%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN115-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n017.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 03:33:51 PM UTC 2026
% Result : Unsatisfiable 8.68s 1.74s
% Output : Proof 8.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 75 ( 51 unt; 0 def)
% Number of atoms : 119 ( 23 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 94 ( 50 ~; 44 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-4 aty)
% Number of variables : 88 ( 23 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f40,axiom,
( ~ m0(D,C,E)
| ~ r0(F)
| ~ p0(E,C)
| l1(C,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_003) ).
fof(f40_nnf,plain,
! [C,D,E,F] :
( ~ m0(D,C,E)
| ~ r0(F)
| ~ p0(E,C)
| l1(C,D) ),
inference(nnf_transformation,[status(thm)],[f40]) ).
fof(f40_sk,plain,
! [C,D,E,F] :
( ~ m0(D,C,E)
| ~ r0(F)
| ~ p0(E,C)
| l1(C,D) ),
inference(skolemisation,[status(esa)],[f40_nnf]) ).
cnf(c40,plain,
( ~ m0(X1,X0,X2)
| ~ r0(X3)
| ~ p0(X2,X0)
| l1(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
cnf(hi40,axiom,
ifeq(p0(X0,X1),true,ifeq(r0(X2),true,ifeq(m0(X3,X1,X0),true,l1(X1,X3),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c40]) ).
cnf(f13,axiom,
p0(b,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f13_nnf,plain,
! [X] : p0(b,X),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [X] : p0(b,X),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
p0(b,X0),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(hi13,axiom,
p0(b,X0) = true,
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(f12,axiom,
r0(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f12_nnf,plain,
r0(e),
inference(nnf_transformation,[status(thm)],[f12]) ).
cnf(c12,plain,
r0(e),
inference(cnf_transformation,[status(esa)],[f12_nnf]) ).
cnf(hi12,axiom,
r0(e) = true,
inference(equality_encoding,[status(esa)],[c12]) ).
cnf(f18,axiom,
m0(X,d,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(f18_nnf,plain,
! [X,Y] : m0(X,d,Y),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
! [X,Y] : m0(X,d,Y),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
m0(X0,d,X1),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(hi18,axiom,
m0(X0,d,X1) = true,
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(h127,plain,
l1(d,V0) = true,
inference(hyper_resolution,[status(thm)],[hi40,hi13,hi12,hi18]) ).
cnf(f212,axiom,
( ~ l1(G,F)
| p2(F,F,F) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_175) ).
fof(f212_nnf,plain,
! [F,G] :
( ~ l1(G,F)
| p2(F,F,F) ),
inference(nnf_transformation,[status(thm)],[f212]) ).
fof(f212_sk,plain,
! [F,G] :
( ~ l1(G,F)
| p2(F,F,F) ),
inference(skolemisation,[status(esa)],[f212_nnf]) ).
cnf(c212,plain,
( ~ l1(X1,X0)
| p2(X0,X0,X0) ),
inference(cnf_transformation,[status(esa)],[f212_sk]) ).
cnf(hi209,axiom,
ifeq(l1(X0,X1),true,p2(X1,X1,X1),true) = true,
inference(equality_encoding,[status(esa)],[c212]) ).
cnf(h140,plain,
p2(V0,V0,V0) = true,
inference(hyper_resolution,[status(thm)],[hi209,h127]) ).
cnf(f277,axiom,
( ~ p2(E,F,D)
| n3(D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_240) ).
fof(f277_nnf,plain,
! [D,E,F] :
( ~ p2(E,F,D)
| n3(D) ),
inference(nnf_transformation,[status(thm)],[f277]) ).
fof(f277_sk,plain,
! [D,E,F] :
( ~ p2(E,F,D)
| n3(D) ),
inference(skolemisation,[status(esa)],[f277_nnf]) ).
cnf(c277,plain,
( ~ p2(X1,X2,X0)
| n3(X0) ),
inference(cnf_transformation,[status(esa)],[f277_sk]) ).
cnf(hi272,axiom,
ifeq(p2(X0,X1,X2),true,n3(X2),true) = true,
inference(equality_encoding,[status(esa)],[c277]) ).
cnf(h315,plain,
n3(V0) = true,
inference(hyper_resolution,[status(thm)],[hi272,h140]) ).
cnf(f17,axiom,
p0(c,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
fof(f17_nnf,plain,
p0(c,b),
inference(nnf_transformation,[status(thm)],[f17]) ).
cnf(c17,plain,
p0(c,b),
inference(cnf_transformation,[status(esa)],[f17_nnf]) ).
cnf(hi17,axiom,
p0(c,b) = true,
inference(equality_encoding,[status(esa)],[c17]) ).
cnf(f26,axiom,
m0(e,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).
fof(f26_nnf,plain,
m0(e,b,c),
inference(nnf_transformation,[status(thm)],[f26]) ).
cnf(c26,plain,
m0(e,b,c),
inference(cnf_transformation,[status(esa)],[f26_nnf]) ).
cnf(hi26,axiom,
m0(e,b,c) = true,
inference(equality_encoding,[status(esa)],[c26]) ).
cnf(h154,plain,
l1(b,e) = true,
inference(hyper_resolution,[status(thm)],[hi40,hi17,hi12,hi26]) ).
cnf(f223,axiom,
( ~ l1(H,G)
| q2(G,G,H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_186) ).
fof(f223_nnf,plain,
! [G,H] :
( ~ l1(H,G)
| q2(G,G,H) ),
inference(nnf_transformation,[status(thm)],[f223]) ).
fof(f223_sk,plain,
! [G,H] :
( ~ l1(H,G)
| q2(G,G,H) ),
inference(skolemisation,[status(esa)],[f223_nnf]) ).
cnf(c223,plain,
( ~ l1(X1,X0)
| q2(X0,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f223_sk]) ).
cnf(hi220,axiom,
ifeq(l1(X0,X1),true,q2(X1,X1,X0),true) = true,
inference(equality_encoding,[status(esa)],[c223]) ).
cnf(h155,plain,
q2(e,e,b) = true,
inference(hyper_resolution,[status(thm)],[hi220,h154]) ).
cnf(f292,axiom,
( ~ n0(I,G)
| ~ q2(I,G,H)
| q3(G,H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_255) ).
fof(f292_nnf,plain,
! [G,H,I] :
( ~ n0(I,G)
| ~ q2(I,G,H)
| q3(G,H) ),
inference(nnf_transformation,[status(thm)],[f292]) ).
fof(f292_sk,plain,
! [G,H,I] :
( ~ n0(I,G)
| ~ q2(I,G,H)
| q3(G,H) ),
inference(skolemisation,[status(esa)],[f292_nnf]) ).
cnf(c292,plain,
( ~ n0(X2,X0)
| ~ q2(X2,X0,X1)
| q3(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f292_sk]) ).
cnf(hi287,axiom,
ifeq(q2(X0,X1,X2),true,ifeq(n0(X0,X1),true,q3(X1,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c292]) ).
cnf(f29,axiom,
n0(e,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
fof(f29_nnf,plain,
n0(e,e),
inference(nnf_transformation,[status(thm)],[f29]) ).
cnf(c29,plain,
n0(e,e),
inference(cnf_transformation,[status(esa)],[f29_nnf]) ).
cnf(hi29,axiom,
n0(e,e) = true,
inference(equality_encoding,[status(esa)],[c29]) ).
cnf(h348,plain,
q3(e,b) = true,
inference(hyper_resolution,[status(thm)],[hi287,h155,hi29]) ).
cnf(f311,axiom,
( ~ n3(e)
| ~ q3(e,b)
| ~ n0(c,d)
| k4(c) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_274) ).
fof(f311_nnf,plain,
( ~ n3(e)
| ~ q3(e,b)
| ~ n0(c,d)
| k4(c) ),
inference(nnf_transformation,[status(thm)],[f311]) ).
fof(f311_sk,plain,
( ~ n3(e)
| ~ q3(e,b)
| ~ n0(c,d)
| k4(c) ),
inference(skolemisation,[status(esa)],[f311_nnf]) ).
cnf(c311,plain,
( ~ n3(e)
| ~ q3(e,b)
| ~ n0(c,d)
| k4(c) ),
inference(cnf_transformation,[status(esa)],[f311_sk]) ).
cnf(hi306,axiom,
ifeq(n0(c,d),true,ifeq(q3(e,b),true,ifeq(n3(e),true,k4(c),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c311]) ).
cnf(f33,axiom,
n0(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).
fof(f33_nnf,plain,
n0(c,d),
inference(nnf_transformation,[status(thm)],[f33]) ).
cnf(c33,plain,
n0(c,d),
inference(cnf_transformation,[status(esa)],[f33_nnf]) ).
cnf(hi33,axiom,
n0(c,d) = true,
inference(equality_encoding,[status(esa)],[c33]) ).
cnf(t0,plain,
k4(c) = true,
inference(hyper_resolution,[status(thm)],[hi306,hi33,h348,h315]) ).
cnf(t285,plain,
k4(c) = true,
inference(orient,[status(thm)],[t0]) ).
cnf(f368,negated_conjecture,
~ k4(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f368_nnf,plain,
~ k4(c),
inference(nnf_transformation,[status(thm)],[f368]) ).
fof(f368_sk,plain,
~ k4(c),
inference(skolemisation,[status(esa)],[f368_nnf]) ).
cnf(c368,plain,
~ k4(c),
inference(cnf_transformation,[status(esa)],[f368_sk]) ).
cnf(goal_0,negated_conjecture,
k4(c) != true,
inference(equality_encoding,[status(esa)],[c368]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t285]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN115-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n017.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 00:08:01 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.68/1.74 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.68/1.74 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------