%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN128-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/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 03:33:53 PM UTC 2026
% Result : Unsatisfiable 0.15s 10.95s
% Output : Proof 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 90 ( 50 unt; 0 def)
% Number of atoms : 150 ( 29 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 126 ( 66 ~; 60 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 107 ( 22 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f38,axiom,
( ~ n0(J,I)
| k1(I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).
fof(f38_nnf,plain,
! [I,J] :
( ~ n0(J,I)
| k1(I) ),
inference(nnf_transformation,[status(thm)],[f38]) ).
fof(f38_sk,plain,
! [I,J] :
( ~ n0(J,I)
| k1(I) ),
inference(skolemisation,[status(esa)],[f38_nnf]) ).
cnf(c38,plain,
( ~ n0(X1,X0)
| k1(X0) ),
inference(cnf_transformation,[status(esa)],[f38_sk]) ).
cnf(hi38,axiom,
ifeq(n0(X0,X1),true,k1(X1),true) = true,
inference(equality_encoding,[status(esa)],[c38]) ).
cnf(f25,axiom,
n0(d,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
fof(f25_nnf,plain,
n0(d,c),
inference(nnf_transformation,[status(thm)],[f25]) ).
cnf(c25,plain,
n0(d,c),
inference(cnf_transformation,[status(esa)],[f25_nnf]) ).
cnf(hi25,axiom,
n0(d,c) = true,
inference(equality_encoding,[status(esa)],[c25]) ).
cnf(h85,plain,
k1(c) = true,
inference(hyper_resolution,[status(thm)],[hi38,hi25]) ).
cnf(f109,axiom,
( ~ s0(F)
| ~ s0(G)
| p1(F,F,F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_072) ).
fof(f109_nnf,plain,
! [F,G] :
( ~ s0(F)
| ~ s0(G)
| p1(F,F,F) ),
inference(nnf_transformation,[status(thm)],[f109]) ).
fof(f109_sk,plain,
! [F,G] :
( ~ s0(F)
| ~ s0(G)
| p1(F,F,F) ),
inference(skolemisation,[status(esa)],[f109_nnf]) ).
cnf(c109,plain,
( ~ s0(X0)
| ~ s0(X1)
| p1(X0,X0,X0) ),
inference(cnf_transformation,[status(esa)],[f109_sk]) ).
cnf(hi108,axiom,
ifeq(s0(X0),true,ifeq(s0(X1),true,p1(X1,X1,X1),true),true) = true,
inference(equality_encoding,[status(esa)],[c109]) ).
cnf(f0,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f0_nnf,plain,
s0(d),
inference(nnf_transformation,[status(thm)],[f0]) ).
cnf(c0,plain,
s0(d),
inference(cnf_transformation,[status(esa)],[f0_nnf]) ).
cnf(hi0,axiom,
s0(d) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(h1,plain,
p1(d,d,d) = true,
inference(hyper_resolution,[status(thm)],[hi108,hi0,hi0]) ).
cnf(f174,axiom,
( ~ p1(B,C,A)
| n2(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_137) ).
fof(f174_nnf,plain,
! [A,B,C] :
( ~ p1(B,C,A)
| n2(A) ),
inference(nnf_transformation,[status(thm)],[f174]) ).
fof(f174_sk,plain,
! [A,B,C] :
( ~ p1(B,C,A)
| n2(A) ),
inference(skolemisation,[status(esa)],[f174_nnf]) ).
cnf(c174,plain,
( ~ p1(X1,X2,X0)
| n2(X0) ),
inference(cnf_transformation,[status(esa)],[f174_sk]) ).
cnf(hi171,axiom,
ifeq(p1(X0,X1,X2),true,n2(X2),true) = true,
inference(equality_encoding,[status(esa)],[c174]) ).
cnf(h127,plain,
n2(d) = true,
inference(hyper_resolution,[status(thm)],[hi171,h1]) ).
cnf(f273,axiom,
( ~ n2(A)
| m3(A,A,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_236) ).
fof(f273_nnf,plain,
! [A] :
( ~ n2(A)
| m3(A,A,A) ),
inference(nnf_transformation,[status(thm)],[f273]) ).
fof(f273_sk,plain,
! [A] :
( ~ n2(A)
| m3(A,A,A) ),
inference(skolemisation,[status(esa)],[f273_nnf]) ).
cnf(c273,plain,
( ~ n2(X0)
| m3(X0,X0,X0) ),
inference(cnf_transformation,[status(esa)],[f273_sk]) ).
cnf(hi268,axiom,
ifeq(n2(X0),true,m3(X0,X0,X0),true) = true,
inference(equality_encoding,[status(esa)],[c273]) ).
cnf(h191,plain,
m3(d,d,d) = true,
inference(hyper_resolution,[status(thm)],[hi268,h127]) ).
cnf(f122,axiom,
( ~ p0(C,B)
| p1(B,B,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_085) ).
fof(f122_nnf,plain,
! [B,C] :
( ~ p0(C,B)
| p1(B,B,B) ),
inference(nnf_transformation,[status(thm)],[f122]) ).
fof(f122_sk,plain,
! [B,C] :
( ~ p0(C,B)
| p1(B,B,B) ),
inference(skolemisation,[status(esa)],[f122_nnf]) ).
cnf(c122,plain,
( ~ p0(X1,X0)
| p1(X0,X0,X0) ),
inference(cnf_transformation,[status(esa)],[f122_sk]) ).
cnf(hi120,axiom,
ifeq(p0(X0,X1),true,p1(X1,X1,X1),true) = true,
inference(equality_encoding,[status(esa)],[c122]) ).
cnf(f13,axiom,
p0(b,X),
file('/export/starexec/sandbox2/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(h30,plain,
p1(V0,V0,V0) = true,
inference(hyper_resolution,[status(thm)],[hi120,hi13]) ).
cnf(f214,axiom,
( ~ p1(E,E,E)
| ~ k0(F)
| q2(E,F,F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_177) ).
fof(f214_nnf,plain,
! [E,F] :
( ~ p1(E,E,E)
| ~ k0(F)
| q2(E,F,F) ),
inference(nnf_transformation,[status(thm)],[f214]) ).
fof(f214_sk,plain,
! [E,F] :
( ~ p1(E,E,E)
| ~ k0(F)
| q2(E,F,F) ),
inference(skolemisation,[status(esa)],[f214_nnf]) ).
cnf(c214,plain,
( ~ p1(X0,X0,X0)
| ~ k0(X1)
| q2(X0,X1,X1) ),
inference(cnf_transformation,[status(esa)],[f214_sk]) ).
cnf(hi211,axiom,
ifeq(k0(X0),true,ifeq(p1(X1,X1,X1),true,q2(X1,X0,X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c214]) ).
cnf(f31,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_32) ).
fof(f31_nnf,plain,
k0(b),
inference(nnf_transformation,[status(thm)],[f31]) ).
cnf(c31,plain,
k0(b),
inference(cnf_transformation,[status(esa)],[f31_nnf]) ).
cnf(hi31,axiom,
k0(b) = true,
inference(equality_encoding,[status(esa)],[c31]) ).
cnf(h171,plain,
q2(V0,b,b) = true,
inference(hyper_resolution,[status(thm)],[hi211,hi31,h30]) ).
cnf(f6,axiom,
n0(d,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f6_nnf,plain,
n0(d,b),
inference(nnf_transformation,[status(thm)],[f6]) ).
cnf(c6,plain,
n0(d,b),
inference(cnf_transformation,[status(esa)],[f6_nnf]) ).
cnf(hi6,axiom,
n0(d,b) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(h14,plain,
k1(b) = true,
inference(hyper_resolution,[status(thm)],[hi38,hi6]) ).
cnf(f173,axiom,
( ~ k1(b)
| m2(b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_136) ).
fof(f173_nnf,plain,
( ~ k1(b)
| m2(b) ),
inference(nnf_transformation,[status(thm)],[f173]) ).
fof(f173_sk,plain,
( ~ k1(b)
| m2(b) ),
inference(skolemisation,[status(esa)],[f173_nnf]) ).
cnf(c173,plain,
( ~ k1(b)
| m2(b) ),
inference(cnf_transformation,[status(esa)],[f173_sk]) ).
cnf(hi170,axiom,
ifeq(k1(b),true,m2(b),true) = true,
inference(equality_encoding,[status(esa)],[c173]) ).
cnf(h101,plain,
m2(b) = true,
inference(hyper_resolution,[status(thm)],[hi170,h14]) ).
cnf(f249,axiom,
( ~ m2(B)
| k3(B,B,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_212) ).
fof(f249_nnf,plain,
! [B] :
( ~ m2(B)
| k3(B,B,B) ),
inference(nnf_transformation,[status(thm)],[f249]) ).
fof(f249_sk,plain,
! [B] :
( ~ m2(B)
| k3(B,B,B) ),
inference(skolemisation,[status(esa)],[f249_nnf]) ).
cnf(c249,plain,
( ~ m2(X0)
| k3(X0,X0,X0) ),
inference(cnf_transformation,[status(esa)],[f249_sk]) ).
cnf(hi244,axiom,
ifeq(m2(X0),true,k3(X0,X0,X0),true) = true,
inference(equality_encoding,[status(esa)],[c249]) ).
cnf(h146,plain,
k3(b,b,b) = true,
inference(hyper_resolution,[status(thm)],[hi244,h101]) ).
cnf(f332,axiom,
( ~ m3(E,F,E)
| ~ q2(E,C,B)
| ~ k3(D,D,B)
| q4(B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_295) ).
fof(f332_nnf,plain,
! [B,C,D,E,F] :
( ~ m3(E,F,E)
| ~ q2(E,C,B)
| ~ k3(D,D,B)
| q4(B,C) ),
inference(nnf_transformation,[status(thm)],[f332]) ).
fof(f332_sk,plain,
! [B,C,D,E,F] :
( ~ m3(E,F,E)
| ~ q2(E,C,B)
| ~ k3(D,D,B)
| q4(B,C) ),
inference(skolemisation,[status(esa)],[f332_nnf]) ).
cnf(c332,plain,
( ~ m3(X3,X4,X3)
| ~ q2(X3,X1,X0)
| ~ k3(X2,X2,X0)
| q4(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f332_sk]) ).
cnf(hi325,axiom,
ifeq(k3(X0,X0,X1),true,ifeq(q2(X2,X3,X1),true,ifeq(m3(X2,X4,X2),true,q4(X1,X3),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c332]) ).
cnf(h368,plain,
q4(b,b) = true,
inference(hyper_resolution,[status(thm)],[hi325,h146,h171,h191]) ).
cnf(f339,axiom,
( ~ k1(H)
| ~ q4(I,I)
| l5(H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_302) ).
fof(f339_nnf,plain,
! [H,I] :
( ~ k1(H)
| ~ q4(I,I)
| l5(H) ),
inference(nnf_transformation,[status(thm)],[f339]) ).
fof(f339_sk,plain,
! [H,I] :
( ~ k1(H)
| ~ q4(I,I)
| l5(H) ),
inference(skolemisation,[status(esa)],[f339_nnf]) ).
cnf(c339,plain,
( ~ k1(X0)
| ~ q4(X1,X1)
| l5(X0) ),
inference(cnf_transformation,[status(esa)],[f339_sk]) ).
cnf(hi332,axiom,
ifeq(q4(X0,X0),true,ifeq(k1(X1),true,l5(X1),true),true) = true,
inference(equality_encoding,[status(esa)],[c339]) ).
cnf(t44,plain,
l5(c) = true,
inference(hyper_resolution,[status(thm)],[hi332,h368,h85]) ).
cnf(t137,plain,
l5(c) = true,
inference(orient,[status(thm)],[t44]) ).
cnf(f368,negated_conjecture,
~ l5(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f368_nnf,plain,
~ l5(c),
inference(nnf_transformation,[status(thm)],[f368]) ).
fof(f368_sk,plain,
~ l5(c),
inference(skolemisation,[status(esa)],[f368_nnf]) ).
cnf(c368,plain,
~ l5(c),
inference(cnf_transformation,[status(esa)],[f368_sk]) ).
cnf(goal_0,negated_conjecture,
l5(c) != true,
inference(equality_encoding,[status(esa)],[c368]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t137]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN128-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/10.38 % Computer : n014.cluster.edu
% 0.09/10.38 % Model : x86_64 x86_64
% 0.09/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.38 % Memory : 8046.5625MB
% 0.09/10.38 % OS : Linux 6.8.0-71-generic
% 0.09/10.38 % CPULimit : 300
% 0.09/10.38 % WCLimit : 300
% 0.09/10.38 % DateTime : Fri Sep 25 00:15:43 UTC 2026
% 0.09/10.39 % CPUTime :
% 0.09/10.39 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.15/10.95 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/10.95 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------