%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN235-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n016.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 03:34:08 PM UTC 2026
% Result : Unsatisfiable 11.32s 7.08s
% Output : Proof 11.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 39 ( 27 unt; 0 def)
% Number of atoms : 59 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 26 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 37 ( 4 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f66,axiom,
( ~ s0(H)
| ~ p0(H,I)
| m1(H,I,H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_029) ).
fof(f66_nnf,plain,
! [H,I] :
( ~ s0(H)
| ~ p0(H,I)
| m1(H,I,H) ),
inference(nnf_transformation,[status(thm)],[f66]) ).
fof(f66_sk,plain,
! [H,I] :
( ~ s0(H)
| ~ p0(H,I)
| m1(H,I,H) ),
inference(skolemisation,[status(esa)],[f66_nnf]) ).
cnf(c66,plain,
( ~ s0(X0)
| ~ p0(X0,X1)
| m1(X0,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f66_sk]) ).
cnf(hi66,axiom,
ifeq(p0(X0,X1),true,ifeq(s0(X0),true,m1(X0,X1,X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c66]) ).
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(f4,axiom,
s0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f4_nnf,plain,
s0(b),
inference(nnf_transformation,[status(thm)],[f4]) ).
cnf(c4,plain,
s0(b),
inference(cnf_transformation,[status(esa)],[f4_nnf]) ).
cnf(hi4,axiom,
s0(b) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(h34,plain,
m1(b,V0,b) = true,
inference(hyper_resolution,[status(thm)],[hi66,hi13,hi4]) ).
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(h184,plain,
p2(V0,b,V0) = true,
inference(hyper_resolution,[status(thm)],[hi210,h34]) ).
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(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(t68,plain,
l3(e,b) = true,
inference(hyper_resolution,[status(thm)],[hi247,hi12,h184]) ).
cnf(t300,plain,
l3(e,b) = true,
inference(orient,[status(thm)],[t68]) ).
cnf(f368,negated_conjecture,
~ l3(e,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f368_nnf,plain,
~ l3(e,b),
inference(nnf_transformation,[status(thm)],[f368]) ).
fof(f368_sk,plain,
~ l3(e,b),
inference(skolemisation,[status(esa)],[f368_nnf]) ).
cnf(c368,plain,
~ l3(e,b),
inference(cnf_transformation,[status(esa)],[f368_sk]) ).
cnf(goal_0,negated_conjecture,
l3(e,b) != true,
inference(equality_encoding,[status(esa)],[c368]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t300]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN235-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/5.36 % Computer : n016.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Fri Sep 25 00:40:05 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 11.32/7.08 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.32/7.08 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------