%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN312-1 : TPTP v9.3.1. Bugfixed v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n009.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 03:39:40 PM UTC 2026
% Result : Unsatisfiable 4.34s 1.41s
% Output : CNFRefutation 4.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 38 ( 7 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 72 ( 37 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 37 ( 0 sgn 37 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p(X3,X1,X2)
| ~ p(X0,X3,X2)
| p(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
! [X2,X0,X1] :
( ~ p(X2,X1,X0)
| p(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
! [X2,X0,X1] :
( ~ p(X1,X0,X2)
| p(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f4,negated_conjecture,
! [X2,X0,X1] :
( ~ p(X0,X1,X2)
| p(X0,X1,f(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f5,negated_conjecture,
! [X2,X0,X1] :
( ~ p(X0,X1,X2)
| p(g(X0),X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f6,negated_conjecture,
p(a,f(b),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f7,negated_conjecture,
p(f(b),d,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
fof(f8,negated_conjecture,
~ p(f(g(a)),f(g(d)),f(g(c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
tcf(c_57,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p(X3,X1,X2)
| ~ p(X3,X0,X2)
| ~ p(X0,X1,X2) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_58,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p(X2,X1,X0)
| ~ p(X0,X1,X2) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_59,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p(X1,X0,X2)
| ~ p(X0,X1,X2) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_60,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p(X0,X1,f(X2))
| ~ p(X0,X1,X2) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_61,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p(g(X0),X1,X2)
| ~ p(X0,X1,X2) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_62,negated_conjecture,
p(a,f(b),c),
inference(cnf_transformation,[],[f6]) ).
tcf(c_63,negated_conjecture,
p(f(b),d,c),
inference(cnf_transformation,[],[f7]) ).
tcf(c_64,negated_conjecture,
~ p(f(g(a)),f(g(d)),f(g(c))),
inference(cnf_transformation,[],[f8]) ).
tcf(c_96,plain,
( p(c,d,f(b))
| ~ p(f(b),d,c) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_101,plain,
( p(g(a),f(b),c)
| ~ p(a,f(b),c) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_113,plain,
( p(g(c),d,f(b))
| ~ p(c,d,f(b)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_153,plain,
( p(c,f(b),g(a))
| ~ p(g(a),f(b),c) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_240,plain,
( p(f(b),d,g(c))
| ~ p(g(c),d,f(b)) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_459,plain,
( p(g(c),f(b),g(a))
| ~ p(c,f(b),g(a)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_830,plain,
! [X0: $i] :
( p(X0,d,g(c))
| ~ p(f(b),d,g(c))
| ~ p(X0,f(b),g(c)) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_1728,plain,
( p(g(c),f(b),f(g(a)))
| ~ p(g(c),f(b),g(a)) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_1844,plain,
( p(f(g(a)),f(g(d)),f(g(c)))
| ~ p(f(g(d)),f(g(a)),f(g(c))) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_2370,plain,
( p(f(g(d)),f(g(a)),f(g(c)))
| ~ p(f(g(c)),f(g(a)),f(g(d))) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_2378,plain,
! [X0: $i] :
( p(f(g(a)),X0,f(g(c)))
| ~ p(f(g(a)),X0,g(c)) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_2558,plain,
( p(f(g(c)),f(g(a)),f(g(d)))
| ~ p(f(g(c)),f(g(a)),g(d)) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_2577,plain,
! [X0: $i] :
( p(f(g(a)),X0,g(c))
| ~ p(g(c),X0,f(g(a))) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_2623,plain,
! [X0: $i] :
( p(X0,f(g(a)),f(g(c)))
| ~ p(f(g(a)),X0,f(g(c))) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_2628,plain,
! [X0: $i] :
( p(g(X0),f(g(a)),f(g(c)))
| ~ p(X0,f(g(a)),f(g(c))) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_2744,plain,
( p(f(g(a)),d,g(c))
| ~ p(f(b),d,g(c))
| ~ p(f(g(a)),f(b),g(c)) ),
inference(instantiation,[status(thm)],[c_830]) ).
tcf(c_2745,plain,
( p(f(g(a)),d,f(g(c)))
| ~ p(f(g(a)),d,g(c)) ),
inference(instantiation,[status(thm)],[c_2378]) ).
tcf(c_2783,plain,
( p(f(g(a)),f(b),g(c))
| ~ p(g(c),f(b),f(g(a))) ),
inference(instantiation,[status(thm)],[c_2577]) ).
tcf(c_2941,plain,
( p(f(g(c)),f(g(a)),g(d))
| ~ p(g(d),f(g(a)),f(g(c))) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_3182,plain,
( p(d,f(g(a)),f(g(c)))
| ~ p(f(g(a)),d,f(g(c))) ),
inference(instantiation,[status(thm)],[c_2623]) ).
tcf(c_3524,plain,
( p(g(d),f(g(a)),f(g(c)))
| ~ p(d,f(g(a)),f(g(c))) ),
inference(instantiation,[status(thm)],[c_2628]) ).
tcf(c_3525,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3524,c_3182,c_2941,c_2783,c_2745,c_2744,c_2558,c_2370,c_1844,c_1728,c_459,c_240,c_153,c_113,c_101,c_96,c_64,c_62,c_63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN312-1 : TPTP v9.3.1. Bugfixed v2.0.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.42 % Computer : n009.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Fri Sep 25 00:47:59 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.48 Running first-order theorem proving
% 0.16/0.48 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.50
% 0.16/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.50
% 0.16/0.50 % Detected problem language: tptp
% 0.25/0.52 % Proving...
% 4.34/1.41 % SZS status Started for theBenchmark.p
% 4.34/1.41 % SZS status Unsatisfiable for theBenchmark.p
% 4.34/1.41
% 4.34/1.41 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.34/1.41
% 4.34/1.41 % ------ iProver source info
% 4.34/1.41
% 4.34/1.41 % git: date: 2026-07-19 20:42:38 +0200
% 4.34/1.41 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.34/1.41 % git: non_committed_changes: false
% 4.34/1.41
% 4.34/1.41 % ------ Parsing...% successful
% 4.34/1.41
% 4.34/1.41
% 4.34/1.41 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.34/1.41
% 4.34/1.41 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.34/1.41
% 4.34/1.41 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.34/1.41 % ------ Proving...
% 4.34/1.41 % ------ Problem Properties
% 4.34/1.41
% 4.34/1.41 %
% 4.34/1.41 % clauses 8
% 4.34/1.41 % conjectures 8
% 4.34/1.41 % EPR 3
% 4.34/1.41 % Horn 8
% 4.34/1.41 % unary 3
% 4.34/1.41 % binary 4
% 4.34/1.41 % lits 14
% 4.34/1.41 % lits eq 0
% 4.34/1.41 % fd_pure 0
% 4.34/1.41 % fd_pseudo 0
% 4.34/1.41 % fd_cond 0
% 4.34/1.41 % fd_pseudo_cond 0
% 4.34/1.41 % AC symbols 0
% 4.34/1.41
% 4.34/1.41 % ------ Schedule dynamic 5 is on
% 4.34/1.41
% 4.34/1.41 % ------ no equalities: superposition off
% 4.34/1.41
% 4.34/1.41 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.34/1.41
% 4.34/1.41
% 4.34/1.41 % ------
% 4.34/1.41 % Current options:
% 4.34/1.41 % ------
% 4.34/1.41
% 4.34/1.41
% 4.34/1.41 %
% 4.34/1.41
% 4.34/1.41 % ------ Proving...
% 4.34/1.41 %
% 4.34/1.41
% 4.34/1.41 % SZS status Unsatisfiable for theBenchmark.p
% 4.34/1.41
% 4.34/1.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.34/1.41
% 4.34/1.41
%------------------------------------------------------------------------------