%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN208-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n019.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 03:34:04 PM UTC 2026
% Result : Unsatisfiable 4.80s 6.12s
% Output : Proof 4.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 62 ( 38 unt; 0 def)
% Number of atoms : 106 ( 19 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 94 ( 50 ~; 44 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 72 ( 23 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f162,axiom,
( ~ p0(I,I)
| s1(I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_125) ).
fof(f162_nnf,plain,
! [I] :
( ~ p0(I,I)
| s1(I) ),
inference(nnf_transformation,[status(thm)],[f162]) ).
fof(f162_sk,plain,
! [I] :
( ~ p0(I,I)
| s1(I) ),
inference(skolemisation,[status(esa)],[f162_nnf]) ).
cnf(c162,plain,
( ~ p0(X0,X0)
| s1(X0) ),
inference(cnf_transformation,[status(esa)],[f162_sk]) ).
cnf(hi160,axiom,
ifeq(p0(X0,X0),true,s1(X0),true) = true,
inference(equality_encoding,[status(esa)],[c162]) ).
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(h26,plain,
s1(b) = true,
inference(hyper_resolution,[status(thm)],[hi160,hi13]) ).
cnf(f163,axiom,
( ~ s1(H)
| ~ q0(F,G)
| s1(F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_126) ).
fof(f163_nnf,plain,
! [F,G,H] :
( ~ s1(H)
| ~ q0(F,G)
| s1(F) ),
inference(nnf_transformation,[status(thm)],[f163]) ).
fof(f163_sk,plain,
! [F,G,H] :
( ~ s1(H)
| ~ q0(F,G)
| s1(F) ),
inference(skolemisation,[status(esa)],[f163_nnf]) ).
cnf(c163,plain,
( ~ s1(X2)
| ~ q0(X0,X1)
| s1(X0) ),
inference(cnf_transformation,[status(esa)],[f163_sk]) ).
cnf(hi161,axiom,
ifeq(q0(X0,X1),true,ifeq(s1(X2),true,s1(X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c163]) ).
cnf(f35,axiom,
q0(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).
fof(f35_nnf,plain,
q0(a,b),
inference(nnf_transformation,[status(thm)],[f35]) ).
cnf(c35,plain,
q0(a,b),
inference(cnf_transformation,[status(esa)],[f35_nnf]) ).
cnf(hi35,axiom,
q0(a,b) = true,
inference(equality_encoding,[status(esa)],[c35]) ).
cnf(h115,plain,
s1(a) = true,
inference(hyper_resolution,[status(thm)],[hi161,hi35,h26]) ).
cnf(f227,axiom,
( ~ s0(d)
| ~ s1(a)
| s2(d) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_190) ).
fof(f227_nnf,plain,
( ~ s0(d)
| ~ s1(a)
| s2(d) ),
inference(nnf_transformation,[status(thm)],[f227]) ).
fof(f227_sk,plain,
( ~ s0(d)
| ~ s1(a)
| s2(d) ),
inference(skolemisation,[status(esa)],[f227_nnf]) ).
cnf(c227,plain,
( ~ s0(d)
| ~ s1(a)
| s2(d) ),
inference(cnf_transformation,[status(esa)],[f227_sk]) ).
cnf(hi224,axiom,
ifeq(s1(a),true,ifeq(s0(d),true,s2(d),true),true) = true,
inference(equality_encoding,[status(esa)],[c227]) ).
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(h160,plain,
s2(d) = true,
inference(hyper_resolution,[status(thm)],[hi224,h115,hi0]) ).
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(h1,plain,
p1(d,d,d) = true,
inference(hyper_resolution,[status(thm)],[hi108,hi0,hi0]) ).
cnf(f218,axiom,
( ~ p1(I,I,I)
| q2(I,I,I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_181) ).
fof(f218_nnf,plain,
! [I] :
( ~ p1(I,I,I)
| q2(I,I,I) ),
inference(nnf_transformation,[status(thm)],[f218]) ).
fof(f218_sk,plain,
! [I] :
( ~ p1(I,I,I)
| q2(I,I,I) ),
inference(skolemisation,[status(esa)],[f218_nnf]) ).
cnf(c218,plain,
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ),
inference(cnf_transformation,[status(esa)],[f218_sk]) ).
cnf(hi215,axiom,
ifeq(p1(X0,X0,X0),true,q2(X0,X0,X0),true) = true,
inference(equality_encoding,[status(esa)],[c218]) ).
cnf(h124,plain,
q2(d,d,d) = true,
inference(hyper_resolution,[status(thm)],[hi215,h1]) ).
cnf(f310,axiom,
( ~ m0(A,B,J)
| ~ s2(I)
| ~ q2(A,I,A)
| s3(I,J) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_273) ).
fof(f310_nnf,plain,
! [I,J,A,B] :
( ~ m0(A,B,J)
| ~ s2(I)
| ~ q2(A,I,A)
| s3(I,J) ),
inference(nnf_transformation,[status(thm)],[f310]) ).
fof(f310_sk,plain,
! [I,J,A,B] :
( ~ m0(A,B,J)
| ~ s2(I)
| ~ q2(A,I,A)
| s3(I,J) ),
inference(skolemisation,[status(esa)],[f310_nnf]) ).
cnf(c310,plain,
( ~ m0(X2,X3,X1)
| ~ s2(X0)
| ~ q2(X2,X0,X2)
| s3(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f310_sk]) ).
cnf(hi305,axiom,
ifeq(q2(X0,X1,X0),true,ifeq(s2(X1),true,ifeq(m0(X0,X2,X3),true,s3(X1,X3),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c310]) ).
cnf(f18,axiom,
m0(X,d,Y),
file('/export/starexec/sandbox2/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(t14,plain,
s3(d,X1) = true,
inference(hyper_resolution,[status(thm)],[hi305,h124,h160,hi18]) ).
cnf(t47,plain,
s3(d,X1) = true,
inference(orient,[status(thm)],[t14]) ).
cnf(f368,negated_conjecture,
~ s3(d,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f368_nnf,plain,
~ s3(d,b),
inference(nnf_transformation,[status(thm)],[f368]) ).
fof(f368_sk,plain,
~ s3(d,b),
inference(skolemisation,[status(esa)],[f368_nnf]) ).
cnf(c368,plain,
~ s3(d,b),
inference(cnf_transformation,[status(esa)],[f368_sk]) ).
cnf(goal_0,negated_conjecture,
s3(d,b) != true,
inference(equality_encoding,[status(esa)],[c368]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t47]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN208-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.13/5.38 % Computer : n019.cluster.edu
% 0.13/5.38 % Model : x86_64 x86_64
% 0.13/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.38 % Memory : 8046.5625MB
% 0.13/5.38 % OS : Linux 6.8.0-71-generic
% 0.13/5.38 % CPULimit : 300
% 0.13/5.38 % WCLimit : 300
% 0.13/5.38 % DateTime : Fri Sep 25 00:30:27 UTC 2026
% 0.13/5.38 % CPUTime :
% 0.13/5.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.80/6.12 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.80/6.12 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------