%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN310-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/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 03:39:40 PM UTC 2026
% Result : Unsatisfiable 1.66s 1.27s
% Output : CNFRefutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 43 ( 25 unt; 6 def)
% Number of atoms : 102 ( 6 equ)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 39 ( 21 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 9 ( 7 usr; 7 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 48 ( 0 sgn 48 !; 0 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X0,X1] :
( p(X2,X1,X0)
| ~ p(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
! [X2,X0,X1] :
( p(X1,X0,X2)
| ~ p(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
! [X2,X0,X1] :
( p(X0,X1,X2)
| ~ p(X0,X1,g(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f4,negated_conjecture,
! [X2,X0,X1] :
( p(X0,X1,X2)
| ~ p(f(X0),X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f5,negated_conjecture,
~ p(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f6,negated_conjecture,
p(f(g(a)),f(g(b)),f(g(c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
tcf(c_55,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p(X2,X1,X0)
| ~ p(X0,X1,X2) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_56,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p(X1,X0,X2)
| ~ p(X0,X1,X2) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_57,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p(X0,X1,X2)
| ~ p(X0,X1,g(X2)) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_58,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p(X0,X1,X2)
| ~ p(f(X0),X1,X2) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_59,negated_conjecture,
~ p(a,b,c),
inference(cnf_transformation,[],[f5]) ).
tcf(c_60,negated_conjecture,
p(f(g(a)),f(g(b)),f(g(c))),
inference(cnf_transformation,[],[f6]) ).
tcf(c_83,definition,
iPr_def_10 = g(a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_84,definition,
iPr_def_11 = f(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_85,definition,
iPr_def_12 = g(b),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_86,definition,
iPr_def_13 = f(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_87,definition,
iPr_def_14 = g(c),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_88,definition,
iPr_def_15 = f(iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_89,negated_conjecture,
p(iPr_def_11,iPr_def_13,iPr_def_15),
inference(demodulation,[status(thm)],[c_60,c_87,c_88,c_85,c_86,c_83,c_84]) ).
tcf(c_90,negated_conjecture,
~ p(a,b,c),
inference(demodulation,[status(thm)],[c_59]) ).
tcf(c_91,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p(X0,X1,X2)
| ~ p(f(X0),X1,X2) ),
inference(demodulation,[status(thm)],[c_58]) ).
tcf(c_92,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p(X0,X1,X2)
| ~ p(X0,X1,g(X2)) ),
inference(demodulation,[status(thm)],[c_57]) ).
tcf(c_93,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p(X1,X0,X2)
| ~ p(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_56]) ).
tcf(c_94,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p(X2,X1,X0)
| ~ p(X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_55]) ).
tcf(c_245,plain,
! [X0: $i,X1: $i] :
( p(X0,X1,a)
| ~ p(X0,X1,iPr_def_10) ),
inference(superposition,[status(thm)],[c_83,c_92]) ).
tcf(c_249,plain,
! [X0: $i,X1: $i] :
( p(iPr_def_10,X0,X1)
| ~ p(iPr_def_11,X0,X1) ),
inference(superposition,[status(thm)],[c_84,c_91]) ).
tcf(c_253,plain,
! [X0: $i,X1: $i] :
( p(X0,X1,b)
| ~ p(X0,X1,iPr_def_12) ),
inference(superposition,[status(thm)],[c_85,c_92]) ).
tcf(c_257,plain,
! [X0: $i,X1: $i] :
( p(iPr_def_12,X0,X1)
| ~ p(iPr_def_13,X0,X1) ),
inference(superposition,[status(thm)],[c_86,c_91]) ).
tcf(c_265,plain,
! [X0: $i,X1: $i] :
( p(X0,X1,c)
| ~ p(X0,X1,iPr_def_14) ),
inference(superposition,[status(thm)],[c_87,c_92]) ).
tcf(c_269,plain,
! [X0: $i,X1: $i] :
( p(iPr_def_14,X0,X1)
| ~ p(iPr_def_15,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_91]) ).
tcf(c_281,plain,
p(iPr_def_10,iPr_def_13,iPr_def_15),
inference(superposition,[status(thm)],[c_89,c_249]) ).
tcf(c_283,plain,
p(iPr_def_15,iPr_def_13,iPr_def_10),
inference(superposition,[status(thm)],[c_281,c_94]) ).
tcf(c_286,plain,
p(iPr_def_13,iPr_def_15,iPr_def_10),
inference(superposition,[status(thm)],[c_283,c_93]) ).
tcf(c_293,plain,
p(iPr_def_13,iPr_def_15,a),
inference(superposition,[status(thm)],[c_286,c_245]) ).
tcf(c_343,plain,
p(iPr_def_12,iPr_def_15,a),
inference(superposition,[status(thm)],[c_293,c_257]) ).
tcf(c_525,plain,
p(a,iPr_def_15,iPr_def_12),
inference(superposition,[status(thm)],[c_343,c_94]) ).
tcf(c_547,plain,
p(a,iPr_def_15,b),
inference(superposition,[status(thm)],[c_525,c_253]) ).
tcf(c_764,plain,
p(b,iPr_def_15,a),
inference(superposition,[status(thm)],[c_547,c_94]) ).
tcf(c_786,plain,
p(iPr_def_15,b,a),
inference(superposition,[status(thm)],[c_764,c_93]) ).
tcf(c_789,plain,
p(iPr_def_14,b,a),
inference(superposition,[status(thm)],[c_786,c_269]) ).
tcf(c_958,plain,
p(a,b,iPr_def_14),
inference(superposition,[status(thm)],[c_789,c_94]) ).
tcf(c_964,plain,
p(a,b,c),
inference(superposition,[status(thm)],[c_958,c_265]) ).
tcf(c_965,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_964,c_90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN310-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 00:45:52 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 1.66/1.27 % SZS status Started for theBenchmark.p
% 1.66/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.66/1.27
% 1.66/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.66/1.27
% 1.66/1.27 % ------ iProver source info
% 1.66/1.27
% 1.66/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.66/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.66/1.27 % git: non_committed_changes: false
% 1.66/1.27
% 1.66/1.27 % ------ Parsing...% successful
% 1.66/1.27
% 1.66/1.27
% 1.66/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.66/1.27
% 1.66/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.66/1.27
% 1.66/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.66/1.27
% 1.66/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.66/1.27 % ------ Proving...
% 1.66/1.27 % ------ Problem Properties
% 1.66/1.27
% 1.66/1.27 %
% 1.66/1.27 % clauses 12
% 1.66/1.27 % conjectures 6
% 1.66/1.27 % EPR 4
% 1.66/1.27 % Horn 12
% 1.66/1.27 % unary 8
% 1.66/1.27 % binary 4
% 1.66/1.27 % lits 16
% 1.66/1.27 % lits eq 6
% 1.66/1.27 % fd_pure 0
% 1.66/1.27 % fd_pseudo 0
% 1.66/1.27 % fd_cond 0
% 1.66/1.27 % fd_pseudo_cond 0
% 1.66/1.27 % AC symbols 0
% 1.66/1.27
% 1.66/1.27 % ------ Schedule dynamic 5 is on
% 1.66/1.27
% 1.66/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.66/1.27
% 1.66/1.27
% 1.66/1.27 % ------
% 1.66/1.27 % Current options:
% 1.66/1.27 % ------
% 1.66/1.27
% 1.66/1.27
% 1.66/1.27 %
% 1.66/1.27
% 1.66/1.27 % ------ Proving...
% 1.66/1.27 %
% 1.66/1.27
% 1.66/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.66/1.27
% 1.66/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.66/1.27
% 1.66/1.27
%------------------------------------------------------------------------------