TSTP Solution File: ANA016-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ANA016-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 10:30:55 EDT 2024
% Result : Unsatisfiable 0.07s 0.28s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 13 unt; 0 def)
% Number of atoms : 26 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f41,plain,
$false,
inference(trivial_inequality_removal,[],[f39]) ).
fof(f39,plain,
v_g(v_x) != v_g(v_x),
inference(superposition,[],[f2,f34]) ).
fof(f34,plain,
! [X0] : c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),X0,t_a),t_a) = X0,
inference(forward_demodulation,[],[f28,f16]) ).
fof(f16,plain,
! [X0] : c_times(c_1,X0,t_a) = X0,
inference(unit_resulting_resolution,[],[f13,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Omonoid__mult(X0)
| c_times(c_1,X1,X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0) ).
fof(f13,plain,
class_OrderedGroup_Omonoid__mult(t_a),
inference(unit_resulting_resolution,[],[f10,f7]) ).
fof(f7,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_OrderedGroup_Omonoid__mult(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_12) ).
fof(f10,plain,
class_Ring__and__Field_Ofield(t_a),
inference(unit_resulting_resolution,[],[f3,f9]) ).
fof(f9,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Ofield(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_0) ).
fof(f3,axiom,
class_Ring__and__Field_Oordered__field(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f28,plain,
! [X0] : c_times(c_1,X0,t_a) = c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),X0,t_a),t_a),
inference(superposition,[],[f25,f18]) ).
fof(f18,plain,
c_1 = c_times(v_c,c_HOL_Oinverse(v_c,t_a),t_a),
inference(unit_resulting_resolution,[],[f10,f1,f6]) ).
fof(f6,axiom,
! [X2,X0] :
( ~ class_Ring__and__Field_Ofield(X0)
| c_0 = X2
| c_1 = c_times(X2,c_HOL_Oinverse(X2,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Oright__inverse_0) ).
fof(f1,axiom,
v_c != c_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f25,plain,
! [X2,X0,X1] : c_times(c_times(X0,X1,t_a),X2,t_a) = c_times(X0,c_times(X1,X2,t_a),t_a),
inference(unit_resulting_resolution,[],[f12,f5]) ).
fof(f5,axiom,
! [X2,X3,X0,X4] :
( ~ class_OrderedGroup_Osemigroup__mult(X0)
| c_times(c_times(X2,X3,X0),X4,X0) = c_times(X2,c_times(X3,X4,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0) ).
fof(f12,plain,
class_OrderedGroup_Osemigroup__mult(t_a),
inference(unit_resulting_resolution,[],[f10,f8]) ).
fof(f8,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_21) ).
fof(f2,axiom,
v_g(v_x) != c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.07 % Problem : ANA016-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.08 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.07/0.27 % Computer : n006.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Tue Apr 30 00:03:50 EDT 2024
% 0.07/0.27 % CPUTime :
% 0.07/0.27 % (1578)Running in auto input_syntax mode. Trying TPTP
% 0.07/0.28 % (1581)WARNING: value z3 for option sas not known
% 0.07/0.28 % (1584)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.07/0.28 % (1582)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.07/0.28 % (1581)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.07/0.28 % (1579)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.07/0.28 % (1580)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.07/0.28 % (1586)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.07/0.28 % (1585)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.07/0.28 TRYING [1]
% 0.07/0.28 TRYING [2]
% 0.07/0.28 % (1586)First to succeed.
% 0.07/0.28 TRYING [3]
% 0.07/0.28 % (1585)Also succeeded, but the first one will report.
% 0.07/0.28 TRYING [1]
% 0.07/0.28 TRYING [1]
% 0.07/0.28 % (1586)Refutation found. Thanks to Tanya!
% 0.07/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.28 % (1586)------------------------------
% 0.07/0.28 % (1586)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.07/0.28 % (1586)Termination reason: Refutation
% 0.07/0.28
% 0.07/0.28 % (1586)Memory used [KB]: 759
% 0.07/0.28 % (1586)Time elapsed: 0.003 s
% 0.07/0.28 % (1586)Instructions burned: 4 (million)
% 0.07/0.28 % (1586)------------------------------
% 0.07/0.28 % (1586)------------------------------
% 0.07/0.28 % (1578)Success in time 0.011 s
%------------------------------------------------------------------------------