%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN311-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n011.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 2.34s 1.27s
% Output : CNFRefutation 2.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 11 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 44 ( 26 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 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; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 52 ( 0 sgn 52 !; 0 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p(X1,X2,X3,X0)
| p(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p(X3,X2,X1,X0)
| p(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p(X0,X1,X2,X3)
| p(X0,X1,X2,g(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f4,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p(X0,X1,X2,X3)
| p(f(X0),X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f5,negated_conjecture,
p(a,b,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f6,negated_conjecture,
~ p(f(g(d)),f(g(c)),f(g(b)),f(g(a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
tcf(c_55,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p(X3,X0,X1,X2)
| ~ p(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_56,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p(X3,X2,X1,X0)
| ~ p(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_57,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p(X0,X1,X2,g(X3))
| ~ p(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_58,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p(f(X0),X1,X2,X3)
| ~ p(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_59,negated_conjecture,
p(a,b,c,d),
inference(cnf_transformation,[],[f5]) ).
tcf(c_60,negated_conjecture,
~ p(f(g(d)),f(g(c)),f(g(b)),f(g(a))),
inference(cnf_transformation,[],[f6]) ).
tcf(c_83,plain,
( p(d,a,b,c)
| ~ p(a,b,c,d) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_88,plain,
( p(d,a,b,g(c))
| ~ p(d,a,b,c) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_110,plain,
( p(g(c),d,a,b)
| ~ p(d,a,b,g(c)) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p(g(X3),X2,X1,X0)
| ~ p(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_57,c_56]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p(X3,X2,X1,f(X0))
| ~ p(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_58,c_56]) ).
tcf(c_185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p(X3,f(X0),X1,X2)
| ~ p(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_58,c_55]) ).
tcf(c_199,plain,
~ p(g(d),f(g(c)),f(g(b)),f(g(a))),
inference(superposition,[status(thm)],[c_58,c_60]) ).
tcf(c_339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p(f(X0),X3,X2,X1)
| ~ p(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_184,c_55]) ).
tcf(c_344,plain,
( p(g(c),d,a,g(b))
| ~ p(g(c),d,a,b) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p(X1,f(X0),X3,X2)
| ~ p(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_339,c_55]) ).
tcf(c_559,plain,
~ p(f(g(a)),f(g(b)),f(g(c)),d),
inference(superposition,[status(thm)],[c_150,c_199]) ).
tcf(c_807,plain,
~ p(g(a),f(g(b)),f(g(c)),d),
inference(superposition,[status(thm)],[c_58,c_559]) ).
tcf(c_855,plain,
~ p(d,f(g(c)),f(g(b)),a),
inference(superposition,[status(thm)],[c_150,c_807]) ).
tcf(c_884,plain,
( p(g(b),g(c),d,a)
| ~ p(g(c),d,a,g(b)) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_905,plain,
~ p(g(c),f(g(b)),a,d),
inference(superposition,[status(thm)],[c_185,c_855]) ).
tcf(c_944,plain,
~ p(g(b),g(c),d,a),
inference(superposition,[status(thm)],[c_467,c_905]) ).
tcf(c_945,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_944,c_884,c_344,c_110,c_88,c_83,c_59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN311-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n011.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 25 00:47:58 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.41 % Detected problem language: tptp
% 0.11/0.42 % Proving...
% 2.34/1.27 % SZS status Started for theBenchmark.p
% 2.34/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 2.34/1.27
% 2.34/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.34/1.27
% 2.34/1.27 % ------ iProver source info
% 2.34/1.27
% 2.34/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 2.34/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.34/1.27 % git: non_committed_changes: false
% 2.34/1.27
% 2.34/1.27 % ------ Parsing...% successful
% 2.34/1.27
% 2.34/1.27
% 2.34/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.34/1.27
% 2.34/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.34/1.27
% 2.34/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.34/1.27 % ------ Proving...
% 2.34/1.27 % ------ Problem Properties
% 2.34/1.27
% 2.34/1.27 %
% 2.34/1.27 % clauses 6
% 2.34/1.27 % conjectures 6
% 2.34/1.27 % EPR 3
% 2.34/1.27 % Horn 6
% 2.34/1.27 % unary 2
% 2.34/1.27 % binary 4
% 2.34/1.27 % lits 10
% 2.34/1.27 % lits eq 0
% 2.34/1.27 % fd_pure 0
% 2.34/1.27 % fd_pseudo 0
% 2.34/1.27 % fd_cond 0
% 2.34/1.27 % fd_pseudo_cond 0
% 2.34/1.27 % AC symbols 0
% 2.34/1.27
% 2.34/1.27 % ------ Schedule dynamic 5 is on
% 2.34/1.27
% 2.34/1.27 % ------ no equalities: superposition off
% 2.34/1.27
% 2.34/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.34/1.27
% 2.34/1.27
% 2.34/1.27 % ------
% 2.34/1.27 % Current options:
% 2.34/1.27 % ------
% 2.34/1.27
% 2.34/1.27
% 2.34/1.27 %
% 2.34/1.27
% 2.34/1.27 % ------ Proving...
% 2.34/1.27 %
% 2.34/1.27
% 2.34/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 2.34/1.27
% 2.34/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.34/1.27
% 2.34/1.27
%------------------------------------------------------------------------------