TSTP Solution File: HAL003+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HAL003+1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n023.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 : Sun May 5 06:11:13 EDT 2024
% Result : CounterSatisfiable 0.16s 0.46s
% Output : FiniteModel 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : HAL003+1 : TPTP v8.1.2. Released v2.6.0.
% 0.02/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n023.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 19:54:53 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % (22829)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.32 % (22833)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.32 % (22832)WARNING: value z3 for option sas not known
% 0.16/0.33 % (22831)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33 % (22830)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33 % (22834)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)
% 0.16/0.33 % (22832)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)
% 0.16/0.33 % (22836)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)
% 0.16/0.33 % (22835)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)
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [2]
% 0.16/0.35 TRYING [3]
% 0.16/0.35 TRYING [3]
% 0.16/0.46 Finite Model Found!
% 0.16/0.46 % SZS status CounterSatisfiable for theBenchmark
% 0.16/0.46 % (22830)First to succeed.
% 0.16/0.46 % (22830)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22829"
% 0.16/0.47 % SZS output start FiniteModel for theBenchmark
% 0.16/0.47 tff(declare_$i,type,$i:$tType).
% 0.16/0.47 tff(declare_$i1,type,alpha:$i).
% 0.16/0.47 tff(declare_$i2,type,b:$i).
% 0.16/0.47 tff(declare_$i3,type,e:$i).
% 0.16/0.47 tff(finite_domain,axiom,
% 0.16/0.47 ! [X:$i] : (
% 0.16/0.47 X = alpha | X = b | X = e
% 0.16/0.47 ) ).
% 0.16/0.47
% 0.16/0.47 tff(distinct_domain,axiom,
% 0.16/0.47 alpha != b & alpha != e & b != e
% 0.16/0.47 ).
% 0.16/0.47
% 0.16/0.47 tff(declare_bool,type,$o:$tType).
% 0.16/0.47 tff(declare_bool1,type,fmb_bool_1:$o).
% 0.16/0.47 tff(finite_domain,axiom,
% 0.16/0.47 ! [X:$o] : (
% 0.16/0.47 X = fmb_bool_1
% 0.16/0.47 ) ).
% 0.16/0.47
% 0.16/0.47 tff(declare_a,type,a:$i).
% 0.16/0.47 tff(a_definition,axiom,a = alpha).
% 0.16/0.47 tff(declare_beta,type,beta:$i).
% 0.16/0.47 tff(beta_definition,axiom,beta = alpha).
% 0.16/0.47 tff(declare_c,type,c:$i).
% 0.16/0.47 tff(c_definition,axiom,c = alpha).
% 0.16/0.47 tff(declare_gamma,type,gamma:$i).
% 0.16/0.47 tff(gamma_definition,axiom,gamma = b).
% 0.16/0.47 tff(declare_d,type,d:$i).
% 0.16/0.47 tff(d_definition,axiom,d = alpha).
% 0.16/0.47 tff(declare_delta,type,delta:$i).
% 0.16/0.47 tff(delta_definition,axiom,delta = e).
% 0.16/0.47 tff(declare_r,type,r:$i).
% 0.16/0.47 tff(r_definition,axiom,r = b).
% 0.16/0.47 tff(declare_f,type,f:$i).
% 0.16/0.47 tff(f_definition,axiom,f = alpha).
% 0.16/0.47 tff(declare_g,type,g:$i).
% 0.16/0.47 tff(g_definition,axiom,g = b).
% 0.16/0.47 tff(declare_h,type,h:$i).
% 0.16/0.47 tff(h_definition,axiom,h = alpha).
% 0.16/0.47 tff(declare_gammma,type,gammma:$i).
% 0.16/0.47 tff(gammma_definition,axiom,gammma = alpha).
% 0.16/0.47 tff(declare_apply,type,apply: $i * $i > $i).
% 0.16/0.47 tff(function_apply,axiom,
% 0.16/0.47 apply(alpha,alpha) = b
% 0.16/0.47 & apply(alpha,b) = alpha
% 0.16/0.47 & apply(alpha,e) = e
% 0.16/0.47 & apply(b,alpha) = b
% 0.16/0.47 & apply(b,b) = e
% 0.16/0.47 & apply(b,e) = alpha
% 0.16/0.47 & apply(e,alpha) = e
% 0.16/0.47 & apply(e,b) = e
% 0.16/0.47 & apply(e,e) = e
% 0.16/0.47
% 0.16/0.47 ).
% 0.16/0.47
% 0.16/0.47 tff(declare_zero,type,zero: $i > $i).
% 0.16/0.47 tff(function_zero,axiom,
% 0.16/0.47 zero(alpha) = e
% 0.16/0.47 & zero(b) = e
% 0.16/0.47 & zero(e) = alpha
% 0.16/0.47
% 0.16/0.47 ).
% 0.16/0.47
% 0.16/0.47 tff(declare_subtract,type,subtract: $i * $i * $i > $i).
% 0.16/0.47 tff(function_subtract,axiom,
% 0.16/0.47 subtract(alpha,alpha,alpha) = alpha
% 0.16/0.47 & subtract(alpha,alpha,b) = alpha
% 0.16/0.47 & subtract(alpha,alpha,e) = alpha
% 0.16/0.47 & subtract(alpha,b,alpha) = alpha
% 0.16/0.47 & subtract(alpha,b,b) = b
% 0.16/0.47 & subtract(alpha,b,e) = b
% 0.16/0.47 & subtract(alpha,e,alpha) = e
% 0.16/0.47 & subtract(alpha,e,b) = b
% 0.16/0.47 & subtract(alpha,e,e) = e
% 0.16/0.47 & subtract(b,alpha,alpha) = alpha
% 0.16/0.47 & subtract(b,alpha,b) = alpha
% 0.16/0.47 & subtract(b,alpha,e) = alpha
% 0.16/0.47 & subtract(b,b,alpha) = alpha
% 0.16/0.47 & subtract(b,b,b) = b
% 0.16/0.47 & subtract(b,b,e) = b
% 0.16/0.47 & subtract(b,e,alpha) = e
% 0.16/0.47 & subtract(b,e,b) = b
% 0.16/0.47 & subtract(b,e,e) = e
% 0.16/0.47 & subtract(e,alpha,alpha) = alpha
% 0.16/0.47 & subtract(e,alpha,b) = alpha
% 0.16/0.47 & subtract(e,alpha,e) = e
% 0.16/0.47 & subtract(e,b,alpha) = b
% 0.16/0.47 & subtract(e,b,b) = b
% 0.16/0.47 & subtract(e,b,e) = b
% 0.16/0.47 & subtract(e,e,alpha) = e
% 0.16/0.47 & subtract(e,e,b) = b
% 0.16/0.47 & subtract(e,e,e) = alpha
% 0.16/0.47
% 0.16/0.47 ).
% 0.16/0.47
% 0.16/0.47 tff(declare_morphism,type,morphism: $i * $i * $i > $o ).
% 0.16/0.47 tff(predicate_morphism,axiom,
% 0.16/0.47 morphism(alpha,alpha,alpha)
% 0.16/0.47 & morphism(alpha,alpha,b)
% 0.16/0.47 & ~morphism(alpha,alpha,e)
% 0.16/0.47 & morphism(alpha,b,alpha)
% 0.16/0.47 & morphism(alpha,b,b)
% 0.16/0.47 & ~morphism(alpha,b,e)
% 0.16/0.47 & ~morphism(alpha,e,alpha)
% 0.16/0.47 & ~morphism(alpha,e,b)
% 0.16/0.47 & ~morphism(alpha,e,e)
% 0.16/0.47 & ~morphism(b,alpha,alpha)
% 0.16/0.47 & ~morphism(b,alpha,b)
% 0.16/0.47 & morphism(b,alpha,e)
% 0.16/0.47 & ~morphism(b,b,alpha)
% 0.16/0.47 & ~morphism(b,b,b)
% 0.16/0.47 & morphism(b,b,e)
% 0.16/0.47 & ~morphism(b,e,alpha)
% 0.16/0.47 & ~morphism(b,e,b)
% 0.16/0.47 & ~morphism(b,e,e)
% 0.16/0.47 & ~morphism(e,alpha,alpha)
% 0.16/0.47 & ~morphism(e,alpha,b)
% 0.16/0.47 & ~morphism(e,alpha,e)
% 0.16/0.47 & ~morphism(e,b,alpha)
% 0.16/0.47 & ~morphism(e,b,b)
% 0.16/0.47 & ~morphism(e,b,e)
% 0.16/0.47 & ~morphism(e,e,alpha)
% 0.16/0.47 & morphism(e,e,b)
% 0.16/0.47 & ~morphism(e,e,e)
% 0.16/0.47
% 0.16/0.47 ).
% 0.16/0.47
% 0.16/0.47 tff(declare_element,type,element: $i * $i > $o ).
% 0.16/0.47 tff(predicate_element,axiom,
% 0.16/0.47 ~element(alpha,alpha)
% 0.16/0.47 & ~element(alpha,b)
% 0.16/0.47 & element(alpha,e)
% 0.16/0.47 & ~element(b,alpha)
% 0.16/0.47 & ~element(b,b)
% 0.16/0.47 & ~element(b,e)
% 0.16/0.47 & element(e,alpha)
% 0.16/0.47 & element(e,b)
% 0.16/0.47 & element(e,e)
% 0.16/0.47
% 0.16/0.47 ).
% 0.16/0.47
% 0.16/0.47 tff(declare_injection,type,injection: $i > $o ).
% 0.16/0.47 tff(predicate_injection,axiom,
% 0.16/0.47 injection(alpha)
% 0.16/0.47 & injection(b)
% 0.16/0.47 & ~injection(e)
% 0.16/0.47
% 0.16/0.47 ).
% 0.16/0.47
% 0.16/0.47 tff(declare_surjection,type,surjection: $i > $o ).
% 0.16/0.47 tff(predicate_surjection,axiom,
% 0.16/0.47 surjection(alpha)
% 0.16/0.47 & ~surjection(b)
% 0.16/0.47 & surjection(e)
% 0.16/0.47
% 0.16/0.47 ).
% 0.16/0.47
% 0.16/0.47 tff(declare_exact,type,exact: $i * $i > $o ).
% 0.16/0.47 tff(predicate_exact,axiom,
% 0.16/0.47 exact(alpha,alpha)
% 0.16/0.47 & exact(alpha,b)
% 0.16/0.47 & exact(alpha,e)
% 0.16/0.47 & ~exact(b,alpha)
% 0.16/0.47 & ~exact(b,b)
% 0.16/0.47 & ~exact(b,e)
% 0.16/0.47 & exact(e,alpha)
% 0.16/0.47 & exact(e,b)
% 0.16/0.47 & ~exact(e,e)
% 0.16/0.47
% 0.16/0.47 ).
% 0.16/0.47
% 0.16/0.47 tff(declare_commute,type,commute: $i * $i * $i * $i > $o ).
% 0.16/0.47 tff(predicate_commute,axiom,
% 0.16/0.47 commute(alpha,alpha,alpha,alpha)
% 0.16/0.47 & ~commute(alpha,alpha,alpha,b)
% 0.16/0.47 & ~commute(alpha,alpha,alpha,e)
% 0.16/0.47 & ~commute(alpha,alpha,b,alpha)
% 0.16/0.47 & ~commute(alpha,alpha,b,b)
% 0.16/0.47 & commute(alpha,alpha,b,e)
% 0.16/0.47 & commute(alpha,alpha,e,alpha)
% 0.16/0.47 & commute(alpha,alpha,e,b)
% 0.16/0.47 & ~commute(alpha,alpha,e,e)
% 0.16/0.47 & ~commute(alpha,b,alpha,alpha)
% 0.16/0.47 & commute(alpha,b,alpha,b)
% 0.16/0.47 & ~commute(alpha,b,alpha,e)
% 0.16/0.47 & ~commute(alpha,b,b,alpha)
% 0.16/0.47 & ~commute(alpha,b,b,b)
% 0.16/0.47 & ~commute(alpha,b,b,e)
% 0.16/0.47 & commute(alpha,b,e,alpha)
% 0.16/0.47 & commute(alpha,b,e,b)
% 0.16/0.47 & ~commute(alpha,b,e,e)
% 0.16/0.47 & ~commute(alpha,e,alpha,alpha)
% 0.16/0.47 & ~commute(alpha,e,alpha,b)
% 0.16/0.47 & ~commute(alpha,e,alpha,e)
% 0.16/0.47 & commute(alpha,e,b,alpha)
% 0.16/0.47 & ~commute(alpha,e,b,b)
% 0.16/0.47 & ~commute(alpha,e,b,e)
% 0.16/0.47 & ~commute(alpha,e,e,alpha)
% 0.16/0.47 & ~commute(alpha,e,e,b)
% 0.16/0.47 & ~commute(alpha,e,e,e)
% 0.16/0.47 & ~commute(b,alpha,alpha,alpha)
% 0.16/0.47 & ~commute(b,alpha,alpha,b)
% 0.16/0.47 & ~commute(b,alpha,alpha,e)
% 0.16/0.47 & commute(b,alpha,b,alpha)
% 0.16/0.47 & ~commute(b,alpha,b,b)
% 0.16/0.47 & ~commute(b,alpha,b,e)
% 0.16/0.47 & ~commute(b,alpha,e,alpha)
% 0.16/0.47 & ~commute(b,alpha,e,b)
% 0.16/0.47 & commute(b,alpha,e,e)
% 0.16/0.47 & ~commute(b,b,alpha,alpha)
% 0.16/0.47 & ~commute(b,b,alpha,b)
% 0.16/0.47 & ~commute(b,b,alpha,e)
% 0.16/0.47 & ~commute(b,b,b,alpha)
% 0.16/0.47 & ~commute(b,b,b,b)
% 0.16/0.47 & ~commute(b,b,b,e)
% 0.16/0.47 & ~commute(b,b,e,alpha)
% 0.16/0.47 & ~commute(b,b,e,b)
% 0.16/0.47 & ~commute(b,b,e,e)
% 0.16/0.47 & commute(b,e,alpha,alpha)
% 0.16/0.47 & ~commute(b,e,alpha,b)
% 0.16/0.47 & ~commute(b,e,alpha,e)
% 0.16/0.47 & ~commute(b,e,b,alpha)
% 0.16/0.47 & ~commute(b,e,b,b)
% 0.16/0.47 & commute(b,e,b,e)
% 0.16/0.47 & ~commute(b,e,e,alpha)
% 0.16/0.47 & ~commute(b,e,e,b)
% 0.16/0.47 & commute(b,e,e,e)
% 0.16/0.47 & ~commute(e,alpha,alpha,alpha)
% 0.16/0.47 & commute(e,alpha,alpha,b)
% 0.16/0.47 & ~commute(e,alpha,alpha,e)
% 0.16/0.47 & ~commute(e,alpha,b,alpha)
% 0.16/0.47 & ~commute(e,alpha,b,b)
% 0.16/0.47 & ~commute(e,alpha,b,e)
% 0.16/0.47 & commute(e,alpha,e,alpha)
% 0.16/0.47 & ~commute(e,alpha,e,b)
% 0.16/0.47 & ~commute(e,alpha,e,e)
% 0.16/0.47 & commute(e,b,alpha,alpha)
% 0.16/0.47 & commute(e,b,alpha,b)
% 0.16/0.47 & commute(e,b,alpha,e)
% 0.16/0.47 & ~commute(e,b,b,alpha)
% 0.16/0.47 & ~commute(e,b,b,b)
% 0.16/0.47 & ~commute(e,b,b,e)
% 0.16/0.47 & commute(e,b,e,alpha)
% 0.16/0.47 & commute(e,b,e,b)
% 0.16/0.47 & ~commute(e,b,e,e)
% 0.16/0.47 & ~commute(e,e,alpha,alpha)
% 0.16/0.47 & ~commute(e,e,alpha,b)
% 0.16/0.47 & ~commute(e,e,alpha,e)
% 0.16/0.47 & ~commute(e,e,b,alpha)
% 0.16/0.47 & ~commute(e,e,b,b)
% 0.16/0.47 & ~commute(e,e,b,e)
% 0.16/0.47 & ~commute(e,e,e,alpha)
% 0.16/0.47 & ~commute(e,e,e,b)
% 0.16/0.47 & commute(e,e,e,e)
% 0.16/0.47
% 0.16/0.47 ).
% 0.16/0.47
% 0.16/0.47 % SZS output end FiniteModel for theBenchmark
% 0.16/0.47 % (22830)------------------------------
% 0.16/0.47 % (22830)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.47 % (22830)Termination reason: Satisfiable
% 0.16/0.47
% 0.16/0.47 % (22830)Memory used [KB]: 2172
% 0.16/0.47 % (22830)Time elapsed: 0.139 s
% 0.16/0.47 % (22830)Instructions burned: 386 (million)
% 0.16/0.47 % (22829)Success in time 0.143 s
%------------------------------------------------------------------------------