%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN727+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n007.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 03:41:29 PM UTC 2026
% Result : Theorem 1.53s 1.28s
% Output : CNFRefutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 41 ( 18 ~; 9 |; 10 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 42 ( 0 sgn 35 !; 7 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [X1] :
( ? [X2] : likes(X1,X2)
=> likes(lyle,X1) )
& ! [X0] : likes(X0,bruce) )
=> ? [X3] :
! [X4] : likes(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm68) ).
fof(f2,negated_conjecture,
~ ( ( ! [X1] :
( ? [X2] : likes(X1,X2)
=> likes(lyle,X1) )
& ! [X0] : likes(X0,bruce) )
=> ? [X3] :
! [X4] : likes(X3,X4) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X1] :
( ! [X2] : ~ likes(X1,X2)
| likes(lyle,X1) )
& ! [X0] : likes(X0,bruce)
& ! [X3] :
? [X4] : ~ likes(X3,X4) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ! [X1] :
( ! [X2] : ~ likes(X1,X2)
| likes(lyle,X1) )
& ! [X0] : likes(X0,bruce)
& ! [X3] :
? [X4] : ~ likes(X3,X4) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
( ! [X3] :
( ! [X4] : ~ likes(X3,X4)
| likes(lyle,X3) )
& ! [X2] : likes(X2,bruce)
& ! [X0] :
? [X1] : ~ likes(X0,X1) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
( ! [X3] :
( ! [X4] : ~ likes(X3,X4)
| likes(lyle,X3) )
& ! [X2] : likes(X2,bruce)
& ! [X0] : ~ likes(X0,sK0(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f5]) ).
fof(f7,plain,
! [X3,X4] :
( ~ likes(X3,X4)
| likes(lyle,X3) ),
inference(cnf_transformation,[],[f6]) ).
fof(f8,plain,
! [X2] : likes(X2,bruce),
inference(cnf_transformation,[],[f6]) ).
fof(f9,plain,
! [X0] : ~ likes(X0,sK0(X0)),
inference(cnf_transformation,[],[f6]) ).
tcf(c_49,negated_conjecture,
! [X0: $i] : ~ likes(X0,sK0(X0)),
inference(cnf_transformation,[],[f9]) ).
tcf(c_50,negated_conjecture,
! [X0: $i] : likes(X0,bruce),
inference(cnf_transformation,[],[f8]) ).
tcf(c_51,negated_conjecture,
! [X0: $i,X1: $i] :
( likes(lyle,X0)
| ~ likes(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_63,negated_conjecture,
! [X0: $i,X1: $i] :
( likes(lyle,X0)
| ~ likes(X0,X1) ),
inference(demodulation,[status(thm)],[c_51]) ).
tcf(c_64,negated_conjecture,
! [X0: $i] : likes(X0,bruce),
inference(demodulation,[status(thm)],[c_50]) ).
tcf(c_65,negated_conjecture,
! [X0: $i] : ~ likes(X0,sK0(X0)),
inference(demodulation,[status(thm)],[c_49]) ).
tcf(c_66,plain,
! [X0: $i] :
( likes(lyle,sK0(lyle))
| ~ likes(sK0(lyle),X0) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_67,plain,
~ likes(lyle,sK0(lyle)),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_68,plain,
( likes(lyle,sK0(lyle))
| ~ likes(sK0(lyle),bruce) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_71,plain,
likes(sK0(lyle),bruce),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_72,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_71,c_67,c_68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN727+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 02:09:52 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 1.53/1.28 % SZS status Started for theBenchmark.p
% 1.53/1.28 % SZS status Theorem for theBenchmark.p
% 1.53/1.28
% 1.53/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.53/1.28
% 1.53/1.28 % ------ iProver source info
% 1.53/1.28
% 1.53/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.53/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.53/1.28 % git: non_committed_changes: false
% 1.53/1.28
% 1.53/1.28 % ------ Parsing...
% 1.53/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.53/1.28
% 1.53/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.53/1.28
% 1.53/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.53/1.28 % ------ Proving...
% 1.53/1.28 % ------ Problem Properties
% 1.53/1.28
% 1.53/1.28 %
% 1.53/1.28 % clauses 3
% 1.53/1.28 % conjectures 3
% 1.53/1.28 % EPR 2
% 1.53/1.28 % Horn 3
% 1.53/1.28 % unary 2
% 1.53/1.28 % binary 1
% 1.53/1.28 % lits 4
% 1.53/1.28 % lits eq 0
% 1.53/1.28 % fd_pure 0
% 1.53/1.28 % fd_pseudo 0
% 1.53/1.28 % fd_cond 0
% 1.53/1.28 % fd_pseudo_cond 0
% 1.53/1.28 % AC symbols 0
% 1.53/1.28
% 1.53/1.28 % ------ Schedule dynamic 5 is on
% 1.53/1.28
% 1.53/1.28 % ------ no equalities: superposition off
% 1.53/1.28
% 1.53/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.53/1.28
% 1.53/1.28
% 1.53/1.28 % ------
% 1.53/1.28 % Current options:
% 1.53/1.28 % ------
% 1.53/1.28
% 1.53/1.28
% 1.53/1.28 %
% 1.53/1.28
% 1.53/1.28 % ------ Proving...
% 1.53/1.28 %
% 1.53/1.28
% 1.53/1.28 % SZS status Theorem for theBenchmark.p
% 1.53/1.28
% 1.53/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.53/1.28
% 1.53/1.28
%------------------------------------------------------------------------------