%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN228-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n001.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 03:34:07 PM UTC 2026
% Result : Unsatisfiable 4.61s 1.07s
% Output : Proof 4.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 24 unt; 0 def)
% Number of atoms : 52 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 22 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 30 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f30,axiom,
m0(b,b,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).
fof(f30_nnf,plain,
m0(b,b,e),
inference(nnf_transformation,[status(thm)],[f30]) ).
cnf(c30,plain,
m0(b,b,e),
inference(cnf_transformation,[status(esa)],[f30_nnf]) ).
cnf(hi30,axiom,
m0(b,b,e) = true,
inference(equality_encoding,[status(esa)],[c30]) ).
cnf(h1,plain,
m0(b,b,e) = true,
inference(hyper_resolution,[status(thm)],[hi30]) ).
cnf(f42,axiom,
( ~ m0(C,C,B)
| m1(B,C,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_005) ).
fof(f42_nnf,plain,
! [B,C] :
( ~ m0(C,C,B)
| m1(B,C,B) ),
inference(nnf_transformation,[status(thm)],[f42]) ).
fof(f42_sk,plain,
! [B,C] :
( ~ m0(C,C,B)
| m1(B,C,B) ),
inference(skolemisation,[status(esa)],[f42_nnf]) ).
cnf(c42,plain,
( ~ m0(X1,X1,X0)
| m1(X0,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f42_sk]) ).
cnf(hi42,axiom,
ifeq(m0(X0,X0,X1),true,m1(X1,X0,X1),true) = true,
inference(equality_encoding,[status(esa)],[c42]) ).
cnf(h2,plain,
m1(e,b,e) = true,
inference(hyper_resolution,[status(thm)],[hi42,h1]) ).
cnf(f213,axiom,
( ~ m1(E,D,E)
| p2(D,E,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_176) ).
fof(f213_nnf,plain,
! [D,E] :
( ~ m1(E,D,E)
| p2(D,E,D) ),
inference(nnf_transformation,[status(thm)],[f213]) ).
fof(f213_sk,plain,
! [D,E] :
( ~ m1(E,D,E)
| p2(D,E,D) ),
inference(skolemisation,[status(esa)],[f213_nnf]) ).
cnf(c213,plain,
( ~ m1(X1,X0,X1)
| p2(X0,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f213_sk]) ).
cnf(hi210,axiom,
ifeq(m1(X0,X1,X0),true,p2(X1,X0,X1),true) = true,
inference(equality_encoding,[status(esa)],[c213]) ).
cnf(h3,plain,
p2(b,e,b) = true,
inference(hyper_resolution,[status(thm)],[hi210,h2]) ).
cnf(f8,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f8_nnf,plain,
r0(b),
inference(nnf_transformation,[status(thm)],[f8]) ).
cnf(c8,plain,
r0(b),
inference(cnf_transformation,[status(esa)],[f8_nnf]) ).
cnf(hi8,axiom,
r0(b) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(h0,plain,
r0(b) = true,
inference(hyper_resolution,[status(thm)],[hi8]) ).
cnf(f252,axiom,
( ~ p2(G,H,G)
| ~ r0(G)
| l3(G,H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_215) ).
fof(f252_nnf,plain,
! [G,H] :
( ~ p2(G,H,G)
| ~ r0(G)
| l3(G,H) ),
inference(nnf_transformation,[status(thm)],[f252]) ).
fof(f252_sk,plain,
! [G,H] :
( ~ p2(G,H,G)
| ~ r0(G)
| l3(G,H) ),
inference(skolemisation,[status(esa)],[f252_nnf]) ).
cnf(c252,plain,
( ~ p2(X0,X1,X0)
| ~ r0(X0)
| l3(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f252_sk]) ).
cnf(hi247,axiom,
ifeq(r0(X0),true,ifeq(p2(X0,X1,X0),true,l3(X0,X1),true),true) = true,
inference(equality_encoding,[status(esa)],[c252]) ).
cnf(t2,plain,
l3(b,e) = true,
inference(hyper_resolution,[status(thm)],[hi247,h0,h3]) ).
cnf(t597,plain,
l3(b,e) = true,
inference(orient,[status(thm)],[t2]) ).
cnf(f368,negated_conjecture,
~ l3(b,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f368_nnf,plain,
~ l3(b,e),
inference(nnf_transformation,[status(thm)],[f368]) ).
fof(f368_sk,plain,
~ l3(b,e),
inference(skolemisation,[status(esa)],[f368_nnf]) ).
cnf(c368,plain,
~ l3(b,e),
inference(cnf_transformation,[status(esa)],[f368_sk]) ).
cnf(goal_0,negated_conjecture,
l3(b,e) != true,
inference(equality_encoding,[status(esa)],[c368]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t597]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN228-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 00:39:24 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.61/1.07 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.61/1.07 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------